Railways Exam > Railways Questions > A man can row 10 km/hr in still water. If the...
Start Learning for Free
A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?
- a)36
- b)72
- c)48
- d)24
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man can row 10 km/hr in still water. If the speed of the current is ...
Speed of the man in still water = 10 km/h
Speed of the current = 2 km/h
Speed of the man along the current = (10 + 2) km/h = 12 km/h
Speed of the man against the current = (10 – 2) km/h = 8 km/h
Given,
He takes 3 hours more in upstream than in the downstream
Let, The distance is x km = x/8 – x/12 = 3
⇒ x = 72 km
Most Upvoted Answer
A man can row 10 km/hr in still water. If the speed of the current is ...
Understanding the Problem
To solve the problem, we need to calculate the distance based on the rowing speeds and the time difference between upstream and downstream.
Given Data
- Speed of the man in still water: 10 km/hr
- Speed of the current: 2 km/hr
- Time difference between upstream and downstream: 3 hours
Calculating Speeds
- Downstream speed = Speed of man + Speed of current
= 10 km/hr + 2 km/hr = 12 km/hr
- Upstream speed = Speed of man - Speed of current
= 10 km/hr - 2 km/hr = 8 km/hr
Defining Variables
- Let the distance be 'D' km.
Time Calculation
- Time taken to row downstream = Distance / Downstream speed
= D / 12 hours
- Time taken to row upstream = Distance / Upstream speed
= D / 8 hours
Setting Up the Equation
According to the problem, the time taken upstream is 3 hours more than downstream:
D / 8 - D / 12 = 3
Solving the Equation
To solve for D, we first find a common denominator, which is 24:
(3D - 2D) / 24 = 3
Simplifying gives:
D / 24 = 3
D = 3 * 24
D = 72 km
Conclusion
Thus, the distance is 72 km, which matches option 'B'.
To solve the problem, we need to calculate the distance based on the rowing speeds and the time difference between upstream and downstream.
Given Data
- Speed of the man in still water: 10 km/hr
- Speed of the current: 2 km/hr
- Time difference between upstream and downstream: 3 hours
Calculating Speeds
- Downstream speed = Speed of man + Speed of current
= 10 km/hr + 2 km/hr = 12 km/hr
- Upstream speed = Speed of man - Speed of current
= 10 km/hr - 2 km/hr = 8 km/hr
Defining Variables
- Let the distance be 'D' km.
Time Calculation
- Time taken to row downstream = Distance / Downstream speed
= D / 12 hours
- Time taken to row upstream = Distance / Upstream speed
= D / 8 hours
Setting Up the Equation
According to the problem, the time taken upstream is 3 hours more than downstream:
D / 8 - D / 12 = 3
Solving the Equation
To solve for D, we first find a common denominator, which is 24:
(3D - 2D) / 24 = 3
Simplifying gives:
D / 24 = 3
D = 3 * 24
D = 72 km
Conclusion
Thus, the distance is 72 km, which matches option 'B'.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer?.
A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer?.
Solutions for A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man can row 10 km/hr in still water. If the speed of the current is 2 km/hr, he takes 3 hours more in upstream than in the downstream. What is the distance (in km)?a)36b)72c)48d)24Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup