CAT Exam > CAT Questions > A man goes downstream with a boat to some de...
Start Learning for Free
A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:
Correct answer is '21'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man goes downstream with a boat to some destination and returns ups...
Let the distance of the destination from the starting point = x km.
View all questions of this test
Speed downstream = (10 + 4) = 14 kmph
Speed upstream = (10 - 4) = 6 kmph
According to the question,
Total time taken = 5 hours
Hence, the correct answer is 21 km.
Most Upvoted Answer
A man goes downstream with a boat to some destination and returns ups...
Given Information:
- Speed of the boat in still water = 10 kmph
- Speed of the stream = 4 kmph
- Time taken to go downstream and return upstream = 5 hours
To find the distance of the destination from the starting place, we can use the concept of relative speed.
Downstream Speed:
When the boat is going downstream, it gets the additional speed of the stream, which helps it cover the distance faster.
- Speed of the boat + Speed of the stream = 10 + 4 = 14 kmph
Upstream Speed:
When the boat is going upstream, it has to overcome the speed of the stream, which makes it slower in covering the distance.
- Speed of the boat - Speed of the stream = 10 - 4 = 6 kmph
Using Relative Speed:
Let's assume the distance between the starting place and the destination is 'd' km.
- Time taken to go downstream = d/14 hours
- Time taken to return upstream = d/6 hours
According to the given information, the total time taken for the round trip is 5 hours.
- d/14 + d/6 = 5
Solving the Equation:
To solve the equation, we can multiply all terms by the least common multiple (LCM) of the denominators (14 and 6), which is 42.
- 3d + 7d = 5 * 42
- 10d = 210
- d = 21
Therefore, the distance of the destination from the starting place is 21 km.
- Speed of the boat in still water = 10 kmph
- Speed of the stream = 4 kmph
- Time taken to go downstream and return upstream = 5 hours
To find the distance of the destination from the starting place, we can use the concept of relative speed.
Downstream Speed:
When the boat is going downstream, it gets the additional speed of the stream, which helps it cover the distance faster.
- Speed of the boat + Speed of the stream = 10 + 4 = 14 kmph
Upstream Speed:
When the boat is going upstream, it has to overcome the speed of the stream, which makes it slower in covering the distance.
- Speed of the boat - Speed of the stream = 10 - 4 = 6 kmph
Using Relative Speed:
Let's assume the distance between the starting place and the destination is 'd' km.
- Time taken to go downstream = d/14 hours
- Time taken to return upstream = d/6 hours
According to the given information, the total time taken for the round trip is 5 hours.
- d/14 + d/6 = 5
Solving the Equation:
To solve the equation, we can multiply all terms by the least common multiple (LCM) of the denominators (14 and 6), which is 42.
- 3d + 7d = 5 * 42
- 10d = 210
- d = 21
Therefore, the distance of the destination from the starting place is 21 km.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer?
Question Description
A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer?.
A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer?.
Solutions for A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer?, a detailed solution for A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? has been provided alongside types of A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the stream are 10kmph and 4kmph respectively, the distance of the destination from the starting place is:Correct answer is '21'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup