the time taken to travel 30 km upstream

A motorboat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream

Let us consider the speed of the motorboat in still water to be u km/hr.

Let us consider the speed of the stream to be ν km/h.

downstream speed of motorboat = (u + ν) km/h

upstream speed of motorboat = (u - ν) km/h.

Time taken to travel 30 km upstream,

t₁ = 30/u-v hours

Time taken to travel 28km downstream,

t₂ = 28/u+v hours.

As per the first condition,

t₁ + t₂ = 7 hours

30/u-v + 28/u+v = 7------------------------------------------(1)

Time taken to travel 21 km upstream,

t₃ = 21/u-v hours.

Time taken to travel 21 km downstream,

t₄ = 21/u+v hours.

As per the second condition,

t₄ + t₃ = 5 hours

21/u+v + 21/u+v = 5------------------------------------------(2)

Let us consider,

Rearranging (1) and (2), we get,

30x + 28y = 7---------------------------------------------------(3)

21x + 21y = 5---------------------------------------------------(4)

x + y = 5/21.

Solve the linear equations (3) and (4)

Multiplying equation (4) by 28 and then subtracting from (3), we get,

(30x - 28y) - (28x + 28y) = 7 - 140/21

2x = 7 - 20/3

Substituting the value of x in(4), we get,

1/6 + y = 5/21

y = 5/21 = 1/6 = 10 -7/42 = 3/42

x = 1/u+v = 1/6

u + v = 6---------------------------(5)

y = 1/u-v = 1/14

u-v = 14----------------------------(6)

Adding (5) and (6), we get,

Substituting the value of u in (5),we get,

10 + ν = 6

Therefore, the speed of the motorboat in still water is 10 km/h and the speed of the stream 4 km/h.

✦ Try This: A motorboat can travel 20 km upstream and 18 km downstream in 5 hours. It can travel 11 km upstream and return in 3 hours. Find the speed of the boat in still water and the speed of the stream

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.4 Problem 8

A motorboat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. The speed of the motorboat in still water is 10 km/h and the speed of the stream 4 km/h.

☛ Related Questions:

• A railway half ticket costs half the full fare, but the reservation charges are the same on a half t . . . .
• A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs 100 . . . .
• Susan invested a certain amount of money in two schemes A and B, which offer interest at the rate of . . . .

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• Mathematics /

Boats and Streams Formula

• Updated on  
• May 10, 2021

Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC , UPSC , BANK PO , and entrance exams like CAT , XAT , MAT , etc. Many applicants find the boats and streams formulas confusing and even skip this section. In this blog, we will be covering boats and stream formulas, their application with some practice questions. 

Table of Contents

Important terms for boats and streams formula, types of boats and stream questions, tips and tricks for boats and stream questions, practice questions.

Also Read: A Guide On How to Prepare for Bank Exams

The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. Here are the important terms every applicant should know:

• Stream- The water that is moving in the river is called a stream.
• Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream.
• Downstream- When the boat is flowing in the same direction as the stream, it is called Downstream
• Still Water- When the water is stationary i.e. not flowing then the speed of water is zero. 

Also Read: Permutation And Combination For Competitive Exams

Without knowing the accurate boats and streams formula it is impossible for any applicant to solve the question. Every applicant should memorize these and should be on fingertips. Here are some of the important boats and stream formulas:

Other Important Boats and stream formulas

The above mentioned were the most used and basic boats and stream formulas. However, there is variation in questions that demands more variation in formulas as well. Here are some other important boats and stream formula:

• Calculating distance between two points, If it takes “t” hours for a boat to reach a point in still water and comes back to the same point  Distance = {(u2-v2) × t} / 2u
• Calculating the distance between two points, If it takes “t” hours more to go to a point upstream than downstream for the same distance Distance = {(u2-v2) × t} / 2v
• Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in “t1” hours and returns the same distance upstream in “t2” hours [v × {(t2+t1) / (t2-t1)}] km/hr u= speed of the boat in still water  v= speed of the stream

Also Read: Banking Courses after Graduation

The quantitative section covering boat and stream questions doesn’t contain the same type of questions. There are 4 types of questions and based on the type, boats and stream formula is applied accordingly:

• Time-based questions
• Speed based questions
• Average speed based questions
• DIstance based questions
• Time-based questions : As the name suggests, you have to calculate time in this type of question. You will have to calculate the time taken by a boat to travel upstream or downstream.

Example – The speed of a boat is that of the stream as 36:5. The boat goes along with the stream in 5 hours and 10 minutes. How much time will it take to come back?

Solution:  6 5/6

• Speed-based questions : In this type, you have to calculate the speed of the stream or boat. In this type of question, you might also find variations such as the speed of the boat in still water.

Example – The speed of the boat when traveling downstream is 32 km/hr. whereas when traveling upstream it is 28 km/hr. What are the speed of the boat in still water and the speed of the stream?

Solution :  Speed of the boat in still water = 30 km/hr.

Speed of the stream = 2 km/hr.

• Average speed-based questions : This is the simplest type, the speed of downstream and upstream will be mentioned and you have to find out the average speed. Sometimes, the speed of either one stream is mentioned with the average speed and you will have to calculate the other speed of the other stream.

Example –  A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. While returning because of water resistance, it took 1 hour 15 minutes to cover the same distance. What was the average speed during the whole journey?

Solution :  48 miles/ hr.

• Distance-based questions – In this type, you have to calculate the distance traveled by boat upstream or downstream. Usually in this type of question time, speed and stream are mentioned.

Example –  A person challenged himself to cross a small river and back. His speed of the boat in still water is 3 km/hr. He calculated the speed of the river that day as 1 km/hr. If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river.

Solution:  2 Km

Also Read: RBI Grade B Exam

Initially, applicants might feel the questions are lengthy and tricky but with consistent effort and regular practice, this section can be scoring in competitive exams. Here are some tips and tricks for boats and stream questions:

• Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Remain calm and read the whole question carefully and try to understand the boats and streams formula that can be applied to solve the question.
• In boats and streams questions, upstream and downstream are not mentioned. Don’t let it confuse you. Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream.
• You will only be able to solve these questions if you have memorized the boats and streams formula. Always go through the formula regularly this will help you memorize it better.
• At last, practice makes the students perfect. Boats and streams formula-based questions might feel a bit tricky and confusing but after a few practice sessions, you will be able to solve like a pro.

Also Read: Tips to Crack Competitive Exams

Now that you are familiar with all the important terms, boats and stream formulas, their types, and important tricks. Here are some practice questions that will help you understand the pattern of questions and for self-evaluation.

• In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is: 
•  3                     
• 5                    
• 8                
•  9                
• A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?  
• 4 km/hr                       
• 6 km/hr                          
• 8 km/hr                       
• Data Inadequate         
• None of these

Answer: 6 km/hr

• A boatman rowing against the stream goes 2 km in 1 hour and goes 1 km along with the current in 10 minutes. How long does it take him to go 5 km in stationary water?  
• 40 minutes                 
• 1 hour                     
• 1 hr 15 minutes                  
• 1 hr 30 minutes                      
• None of These

Answer: 1 hour 15 minutes

• A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:   
•  2 mph
• 3 mph 

Answer:  2 mph  

•  If Rajiv rows at his usual rate, he can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. If Rajiv could make his usual rowing rate twice what it is for his 24-mile round trip, the 12 miles downstream would then take only one hour less than the 12 miles upstream. What is the speed of the current in miles per hour?
• 1(1/3)                          
• 1(2/3)                            
• 2(1/3)                            ‘

Answer: 2(2/3)

 {(Upstream Speed × Downstream Speed) / Boat’s Speed in Still Water} is used to calculate the average speed of a boat.

Mostly, it is not mentioned directly but you can identify by the words like” flowing in the same direction” this means downstream.

The speed of still water is always zero.

All boat and stream questions are not the same, they can be classified into 4 types distance, average speed, speed, and time-based questions.

Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams.

This was all about the Boats and streams formula. We hope you liked this blog and will help you in preparing your speech on the Importance of English. For the latest updates around study blogs, you can follow us on Instagram , Twitter , Facebook and also subscribe to our newsletter. Leverage Edu wishes you all the best for all your future endeavors.

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Speed Distance Time Calculator

Please enter the speed and distance values to calculate the travel time in hours, minutes and seconds.

About Speed Distance Time Calculator

This online calculator tool can be a great help for calculating time basing on such physical concepts as speed and distance. Therefore, in order to calculate the time, both distance and speed parameters must be entered. For the speed , you need to enter its value and select speed unit by using the scroll down menu in the calculator. For distance , you should enter its value and also select the proper length measurement unit from the scroll down menu. You'll receive the result in standard time format (HH:MM:SS).

Time Speed Distance Formula

Distance is equal to speed × time. Time is equal Distance/Speed.

Calculate Time from Distance and Speed Examples

Recent comments.

Going 65mph for 30 seconds how far would you get? None of these formulas work without distance. How would I find the distance from time and speed?

if i travel 0.01 inches per second and I need to travel 999999999 kilometers, it takes 556722071 Days and 20:24:34 WHAT

4. How long does it take to do 100m at 3kph ? No I thought you would just divide 100 ÷ 3 = which 33.33333 so 33 seconds or so I thought. But apparently it 2 mins.

This was the best tool ive ever used that was on point from speed to distance and time Calculator

This was somewhat unhelpful as I know the time and distance, but not the speed. Would be helpful if this calculator also could solve the other two as well.

If a total distance of 2 miles is driven, with the first mile being driven at a speed of 15mph, and the second mile driven at a speed of 45 mph: What is the average speed of the full 2 mile trip?

hi sorry im newly introduced to this and i dont understand how to use it but in need to find the distance if i was travelling in the average speed of 15km/hr in 4 hours how far would i travel

D= 697 km T= 8 hours and 12 minutes S= ?

if a train is going 130 miles in 50 minutes, how fast is it going in miles per hour ??

whats the speed if you travel 2000 miles in 20hours?

How long would it take me to drive to Mars at 100 miles per hour and how much gas would I use in a 2000 Ford Mustang000000/ Also, how much CO2 would I release into the air?

great tool helped me alot

A car can go from rest to 45 km/hr in 5 seconds. What is its acceleration?

Guys how much time will a cyclist take to cover 132 METRES With a speed of 8 km/ph

@Mike Depends on how fast that actually is. For every 10 mph above 60, but below 120, you save 5 seconds a mile. But between the 30-60 area, every ten saves 10 seconds a mile (if I am remembering correctly), and every 10 between 15-30 is 20 seconds. Realistically, it isn't likely isn't worth it, unless it is a relatively straight drive with no stops, in which case you will likely go up a gear for the drive and thus improve gas efficiency for the trip. Only really saves time if it is over long trips 300+ miles (in which case, assuming you were on the interstate) that 5 seconds a mile would save you 25 minutes from the drive, making it go from 4h35m to 4h10m. For me, I have family across the U.S., so family visits are usually 900-1400 miles. Even only driving 5 above usually saves me 90-150 minutes or so (since I often have stretches where I drive on US highways which have 55 mph speed limits)

I would like to know if driving fast is worth it for short trips. If I drive 10 MPH over the speed limit for 10 miles, how much time do i save ? Is there an equation for that ?

it helps me in lot of stuff

awesome, helped me notice how long my taiga (electric seedoo) is going to last.

Very good! This helped me a lot.

The time taken to travel 30 km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11 km then the total time taken is 11 hours more than earlier. Find the speed of the stream.

The correct option is A 4 km/hr Let's assume that the speed of the boat in still water is x km/hr and speed of the stream is y km/hr. So, the speed of the boat in upstream will be (x-y) km/hr. Similarly, the speed of the boat downstream will be (x+y) km/hr. We know time = ( distance speed ) . Using the above formula we can form the equations in two variables. Taking the first case, 30 x - y + 44 x + y = 14 . Taking the second case, 60 x - y + 55 x + y = 25 . Now, we have the equations in two variables but the equations are not linear. So, we will assume 1 x - y = u and 1 x + y = v . So on substituting u and v in the above two equations, we get 30 u + 44 v = 14 ...(1) 60 u + 55 v = 25 ...(2) We can solve the above two equations using the elimination method. 60 u + 88 v = 28 ...(3) (by multiplying equation (1) by 2) On subtracting equation (2) from (3), we get v = 1 11 On substituting v in equation (2) we get u = 1 3 Now as we have assumed 1 x - y = u and 1 x + y = v On substituting the values of u and v , we get a pair of linear equations in x and y x - y = 3 ...(4) x + y = 11 ...(5) On adding (5) from (4), we have 2 x = 14 x = 7 On subsituting the value of x in x − y = 3 , we get y = 4. So, the speed of the boat in still water is 7 km/hr and the speed of the stream is 4 km/hr.

The time taken to travel 30km upstream and 44 km downstream is 14 hours. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km then total time taken increases by 11 hours. Find the speed of the stream and speed of the boat.

The time taken to travel 30km upstream and 44 km downstream is 14 hr. If the distance covered in upstream is doubled and distance covered in downstream is increased by 11km, then total time taken is 11hr more than earlier. Find the speed of the stream and speed of the boat.

SOLUTION: the speed of a stream is 3 km/hr. a boat travels 4 km upstream in the same time it takes to travel 10 km downstream. What is the speed of the boat in still water?

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Boats & Streams - Solved Examples

Q 1 - Speed of boat in still water is 16 km/hr. If the speed of the stream is 4 km/hr, find its downstream and upstream speeds.

Explanation

Q 2 - A man can row downstream at 18 km/hr and upstream at 12 km/hr. Find his speed in still water and the rate of the current.

Q 3 - A man swims downstream 28 km in 4 hrs and upstream 12 km in 3 hrs. Find his speed in still water and also the speed of the current.

B - 5.5,1.5

C - 5.5,2.5

Q 4 - The speed of the boat in still water is 15 km/hr. It takes twice as long as to go upstream to a point as to return downstream to the starting point. What is the speed of the current?

A - 4 km/hr

B - 3 km/hr

C - 2 km/hr

D - 5 km/hr

Q 5 - A boat covers a certain distance downstream in 6 hours and takes 8 hours to return upstream to the starting point. If the speed of the stream is 3 km/hr, find the speed of the boat in still water.

A - 1 km/hr

B - 4 km/hr

C - 3 km/hr

D - 2 km/hr

Q 6 - The speed of river Ganga is 5 km/hr. A motor boat travels 28 km upstream and then returns downstream to the starting point. If its speed in still water be 9 km/hr, find the total journey time.

Q 7 - A boat travels 32 km upstream and 60 km downstream in 9 hr. Also it travels 40 km upstream and 84 km downstream in 12 hrs. Find the speed of the boat in still water and rate of the current.

Q 8 - The speed of a swimmer in still water is 12km/hr. It takes 6 hrs to swim to a certain distance and return to the starting point. The speed of current is 4km/hr. Find the distance between the two points.

Q 9 - A boat running downstream covers a distance of 30 kms in 2 hrs. While coming back the boat takes 6 hrs to cover the same distance. If the speed of the current is half that of the boat, what is the speed of the boat?

A - 15 km/hr

B - 54 km/hr

C - 10 km/hr

D - None of these

Q 10 - A steamer goes downstream from one point to the other in 4 hrs. It covers the same distance upstream in 5 hrs. If the speed of the stream is 2 km/hr, the distance between the two pints is

A boat covers 32 km upstream and 36 km downstream in 7 hours. Also, it covers 40 km upstream and 48 km downstream in 9 hours. Find the speed of the boat in still water and that of the stream.

Let the speed of the boat in still water be x km/hr and the speed of the stream but y km/hr. Then, Speed upstream = ( x − y ) km/hr Speed downstream = ( x + y ) km/hr Now, Time taken to cover 32 km upstream = 32 x − y hrs Time taken to cover 36 km downstream = 36 x + y hrs But, total time of journey is 7 hours. ∴ 32 x − y + 36 x + y = 7 ..(i) Time taken to cover 40 km upstream = 40 x − y Time taken to cover 48 km downstream = 48 x + y In this case, total time of journey is given to be 9 hours. ∴ 40 x − y + 48 x + y = 9 (ii) Putting 1 x − y = u and 1 x + y = v in equations (i) and (ii), we get 32 u + 36 v = 7 ⇒ 32 u − 36 v − 7 = 0 ..(iii) 40 u + 48 v = 9 ⇒ 40 u − 48 v − 9 = 0 ..(iv) Solving these equations by cross-multiplication, we get u 36 × − 9 − 48 × − 7 = − v 32 × − 9 − 40 × − 7 = 1 32 × 48 − 40 × 36 ⇒ u − 324 + 336 = − v − 288 + 280 = 1 1536 − 1440 ⇒ u 12 = v 8 = 1 96 ⇒ u = 12 96 and v = 8 96 ⇒ u = 1 8 and v = 1 12 Now, u = 1 8 ⇒ 1 x − y = 1 8 ⇒ x − y = 8 ..(v) and, v = 1 12 ⇒ 1 x + y = 1 12 ⇒ x + y = 12 ..(vi) Solving equations (v) and (vi), we get x = 10 and y = 2 Hence, Speed of the boat in still water = 10 km/hr and Speed of the stream = 2 km/hr.

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Ipm question paper 2019 | ipm rohtak quants, ipmat sample paper | ipmat question paper.

IPM Sample Paper / IPMAT 2019 Question paper Rohtak Quants

I PMAT 2020 Sample Paper Rohtak Quants. Solve questions from IPMAT 2019 Question paper from IPM Rohtak and check the solutions to get adequate practice.

Directions (1-5): Study the data given below and answer the following questions. The pie charts shown below shows the distance covered by a boat moving upstream and downstream indifferent days of a week. And the table shows the speed of stream in km/hr. in different days of a week.

IPMAT 2019 Question paper - IPM Rohtak Quants

If the time taken by boat to travel upstream on Wednesday is \\frac{6}{7}\\) times than the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph then find the speed of boat in still water on Wednesday? ( speed of boat in still water is different for different days)

• None of these

If the time taken by boat to travel upstream on Monday is 27\\frac{1}{5}\\) hrs. more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday ?(speed of boat in still water is same in upstream as in downstream)

If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was 66\\frac{2}{3}\\)% more than that of Saturday and time taken to travel upstream on Wednesday is \\frac{16}{13}\\) times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?

The speed of boat in still water on Saturday was 21 km/hr. and that on Sunday was 28\\frac{4}{7}\\)% more than that on Saturday, if the time taken by boat to travel upstream on Saturday is 2\\frac{1}{2}\\) times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday?

• 6 hrs 45 min
• 2 hrs 45 min
• 4 hrs 30 min
• 6 hrs 15 min

If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)

A Container contains X Litres of Milk. A thief stole 50 Litres of Milk and replaced it with the same quantity of water. He repeated the same process further two times. And thus Milk in the container is only X-122 litres. Then what is the quantity of water in the final mixture?

Veena has to pay Rs. 2460 to Sita, 5 Months later at 6% SI per annum, and Gita has to pay Sita same amount at 7.5% SI per annum after certain months. If both took the same amount of loan from Sita then Gita paid loan after how many months?

Use the figure below to answer questions 8 through 9.

What is the area of the shaded figure?

• 56.25π square feet
• 112.5π square feet
• 225π square feet
• 337.4π square feet

What is the ratio of the area of Circle M and the area of Circle K?

If x% of y is equal to z then what percentage of z is x?

• \\frac{y^2}{100}\\)
• \\frac{x^2}{100}\\)
• \\frac{100^2}{y}\\)
• \\frac{100^2}{x}\\)

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.

One Trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling prices are same, then the difference of their actual profit is Rs 85 and both claim to have made 20% profit. What is the selling price for each?

Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24.The present rate of eggs per dozen is

• Rs 28.8/dozen
• Rs 24.8/dozen
• Rs 25.8/dozen
• Rs 30/dozen

sin\\frac{13π}{6}\\) = ?

• \\frac{1}{2}\\)
• \\frac{1}{\sqrt{2}}\\)
• \\frac{1}{\sqrt{3}}\\)
• \\sqrt{3}\\)

Fruits were purchased for Rs 350. 9 boys ate \\frac{3}{5}\\) th of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?

If minimum value of f(x) = x 2 + 2bx + 2c 2 is greater than the maximum value of g(x) = -x 2 - 2cx + b 2 , then for real value of x.

• |c| > √2|b|
• 0 < c < √2b
• no real value of a

The set of all real numbers x for which x 2 - |x + 2 |+ x > 0, is

• (-∞, -2) ∪ (2, ∞)
• (-∞, -√2) ∪ (√2, ∞)
• (-∞, -1) ∪ (1, ∞)

What should come at the place of question mark? 46080, 3840, 384, 48, 8, 2, ?

• \\frac{1}{64}\\)
• \\frac{1}{8}\\)

A room has floor size of 15*6sq.cm. What is the height of the room , if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls ?

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

• None of the above

Given A = 2 65 and B = (2 64 + 2 63 + 2 62 + ... + 2 0 ), which of the following is true?

• B is 2 64 larger than A
• A and B are equal
• B is larger than A by 1
• A is larger than B by 1

A line from center to circumference of a circle is known as

A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?

• \\frac{10}{21}\\)
• \\frac{3}{4}\\)
• \\frac{2}{35}\\)

Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.

• \\frac{400}{23}\\) hrs
• \\frac{400}{27}\\) hrs
• \\frac{200}{23}\\) hrs
• \\frac{200}{27}\\) hrs

Given ratio are a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a : b : c.

• 10 : 15 : 6

If there are Rs 495 in a bag in denominations of one-rupee, 50 paisa and 25 paisa coins, which are in the ratio 1 : 8 : 16. How many 50 paisa coins are there in the bag?

What decimal of an hour is a second?

What will be vulgar fraction of 0.0056?

• \\frac{7}{1150}\\)
• \\frac{7}{1175}\\)
• \\frac{7}{1250}\\)
• \\frac{7}{1275}\\)

One-fifth of a number is equal to \\frac{5}{8}\\) th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.

If * = +, / = -, + = *, - = / then 43 * 561 + 500 - 100 / 10 = ?

A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What is the area of the remaining portion of the triangle?

• 144√3 - 48π cm 2
• 121√3 - 36π cm 2
• 144√3 - 36π cm 2
• 121√3 - 48π cm 2

A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is

John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj?

Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work?

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

• 1 hr 15 min
• 1 hr 30 min

Simplification: \25^{(2.7)} \times 5^{(4.2)} \div 5^{(5.4)} = ?\\)

18800 / 470 / 20

Find the HCF of \\frac{2}{3}, \frac{4}{6}, \frac{8}{27}\\)

• \\frac{2}{27}\\)
• \\frac{8}{3}\\)
• \\frac{2}{3}\\)
• \\frac{8}{27}\\)

If log 2, log (2x - 1) and log (2x + 3) are in A.P, then x is equal to ____

• \\frac{5}{2}\\)

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