the time taken to travel 30 km upstream

A boat travels 30 k m upstream in a river in the same period of time as it takes to travel 50 k m downstream. If the rate of stream be 5 k m p h , find the speed of the boat in still water.

Let the speed of boat be ( x − 5 ) in upstream and ( x + 5 ) in downstream s = d t or t = d s ⇒ 30 5 = 6 hours and 50 5 = 10 hours then the equation will be 6 ( x + 5 ) = 10 ( x − 5 ) 6 x + 30 = 10 x − 50 ⇒ 10 x − 6 x = 30 + 50 ⇒ 4 x = 80 ⇒ x = 80 4 = 20 speed of the boat in still water is 20 kmph '.

A moter boat that 30km upstream and 28km downstream 7km/h . It can travel 21km upstream and return in 5hours .find the speed of the boat in still water and speed of the stream.

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.

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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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Question 9 - Examples - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Last updated at May 29, 2023 by Teachoo

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Question 9 A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water. Let the speed of boat in still water be x km/hr & let the speed of stream be y km/hr Now, Speed downstream = x + y Speed upstream = x – y Given that A boat goes 30 km upstream and 44 km downstream in 10 hours Time taken to go 30 km upstream + Time taken to go 44 km downstream (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 30 𝑘𝑚)/(𝑆𝑝𝑒𝑒𝑑 𝑢𝑝𝑠𝑡𝑟𝑒𝑎𝑚) + (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 44 𝑘𝑚)/(𝑆𝑝𝑒𝑒𝑑 𝑑𝑜𝑤𝑛𝑠𝑡𝑟𝑒𝑎𝑚) = 10 𝟑𝟎/(𝒙 − 𝒚) + 𝟒𝟒/(𝒙 + 𝒚) = 10 Similarly, A boat goes 40 km upstream and 55 km downstream in 13 hours Time taken to go 40 km upstream + Time taken to go 55 km downstream (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 40 𝑘𝑚)/(𝑆𝑝𝑒𝑒𝑑 𝑢𝑝𝑠𝑡𝑟𝑒𝑎𝑚) + (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑜𝑓 55 𝑘𝑚)/(𝑆𝑝𝑒𝑒𝑑 𝑑𝑜𝑤𝑛𝑠𝑡𝑟𝑒𝑎𝑚) = 13 𝟒𝟎/(𝒙 − 𝒚) + 𝟓𝟓/(𝒙 + 𝒚) = 13 Our equations are 30 (1/(𝑥 − 𝑦))+44(1/(𝑥 + 𝑦))=10 …(1) 40 (1/(𝑥 − 𝑦))+55(1/(𝑥 + 𝑦))=13 …(2) So, our equations become 30u + 44v = 10 40u + 55v = 13 Solving 30u + 44v = 10 …(3) 40u + 55v = 13 …(4) From (3) 30u + 44v = 10 30u = 10 – 44v u = (10 − 44𝑣)/30 Putting value of u in (4) 40u + 55v = 13 40((10 − 44𝑣)/30)+55𝑣=13 4((10 − 44𝑣)/3)+55𝑣=13 Multiplying both sides by 3 3 × 4((10 − 44𝑣)/3)+"3 ×" 55𝑣="3 ×" 13 4(10 – 44v) + 165𝑣= 39 40 – 176v + 165v = 39 – 176v + 165v = 39 – 40 – 11v = –1 v = 𝟏/𝟏𝟏 Putting v = 1/11 in equation (3) 30u + 44v = 10 30u + 44(1/11) = 10 30u + 4 = 10 30u = 10 – 4 30u = 6 u = 6/30 u = 𝟏/𝟓 So, u = 1/5 & v = 1/11 But we need to find x & y We know that u = 𝟏/(𝒙 − 𝒚) 1/5 = 1/(𝑥 − 𝑦) x – y = 5 v = 𝟏/(𝒙 + 𝒚) 1/11 = 1/(𝑥 + 𝑦) x + y = 11 So, our equations become x – y = 5 …(6) x + y = 11 …(7) Adding (6) and (7) (x – y) + (x + y) = 5 + 11 2x = 16 x = 16/2 x = 8 Putting x = 8 in (7) x + y = 11 8 + y = 11 y = 11 – 8 y = 3 So, x = 8, y = 3 is the solution of the given equation Hence Speed of boat in still water = x = 8 km/hr Speed of stream = y = 3 km/hr

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Aptitude - Boats and Streams

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Here you can find multiple-choice Aptitude questions and answers based on "Boats and Streams" for your placement interviews and competitive exams. Objective-type and true-or-false-type questions are given too.

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• Boats and Streams - Formulas
• Boats and Streams - General Questions
• Boats and Streams - Data Sufficiency 1
• Boats and Streams - Data Sufficiency 2

Speed downstream = (13 + 4) km/hr = 17 km/hr.

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

   = 8 : 3.

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x ) km/hr,

Speed upstream = (15 - x ) km/hr.

Video Explanation: https://youtu.be/lMFnNB3YQOo

Video Explanation: https://youtu.be/KQX_mA3tcVA

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A boat travels 30 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the rate of stream is 5 kmph, find the speed of the boat in still water.

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What is the speed of the boat in still water?

A boat travels 20 kilometers upstream in the same time that it would take the same boat to travel 30 kilometers downstream. If the rate of the stream is 5 kilometers per hour, find the speed of the boat in still water.

1 Expert Answer

Mark M. answered • 01/19/16

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The velocity of a boat in still water is 5 k m / h . The velocity of the river water is 10 k m / h . What is the time taken by the boat to travel 30 k m upstream ?

The correct option is d not possible velocity of boat, v b r = 5 k m / h velocity of river water, v r = 10 k m / h velocity of boat w.r.t. river v b r = v b – v r ⇒ v b = v b r + v r ∵ boat will travel upstream ⇒ v b = 5 − 10 = − 5 k m / h time taken to travel 30 k m upstream = 30 − 5 = − 6 h since the time cannot be negative, therefore the negative time shows that it is not possible for the boat to travel upstream. hence the correct option is (d)..