CAT Exam > CAT Questions > In a 3600 m race around a circular track of ...
Start Learning for Free
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.
- a)20 minutes
- b)24 minutes
- c)26 minutes
- d)28 minutes
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In a 3600 m race around a circular track of length 400m, the faster r...
To solve this problem, let's consider the speeds of the two runners. Let the speed of the slower runner be 's' m/min. According to the given information, the faster runner runs at three times the speed of the slower runner. Therefore, the speed of the faster runner is 3s m/min.
Let's assume that the slower runner takes 't' minutes to finish the race. In that time, the slower runner would have covered a distance of 400t meters.
According to the problem, the faster runner and the slower runner meet at the end of the fourth minute. This means that the faster runner would have covered a distance of 400 meters in 4 minutes. We can use this information to set up an equation:
3s * 4 = 400
Simplifying the equation, we find:
12s = 400
s = 400/12
s = 33.33 m/min (approx)
Now, we can find the time taken by the slower runner to finish the race:
400t = 3600
t = 3600/400
t = 9 minutes
Therefore, the slower runner takes 9 minutes to finish the race.
To find the time taken by the faster runner to finish the race, we can substitute the value of 's' in the equation:
3s * t = 3600
3 * 33.33 * t = 3600
t = 3600/(3 * 33.33)
t ≈ 36/10
t ≈ 3.6 minutes
Since the faster runner takes 3.6 minutes to finish the race, which is equivalent to 3 minutes and 36 seconds, the answer is approximately 3 minutes and 36 seconds.
Converting this into minutes, we get:
3 minutes + 36 seconds/60 = 3.6 minutes
Therefore, the time taken by the faster runner to finish the race is approximately 3.6 minutes, which is equivalent to 3 minutes and 36 seconds.
Let's assume that the slower runner takes 't' minutes to finish the race. In that time, the slower runner would have covered a distance of 400t meters.
According to the problem, the faster runner and the slower runner meet at the end of the fourth minute. This means that the faster runner would have covered a distance of 400 meters in 4 minutes. We can use this information to set up an equation:
3s * 4 = 400
Simplifying the equation, we find:
12s = 400
s = 400/12
s = 33.33 m/min (approx)
Now, we can find the time taken by the slower runner to finish the race:
400t = 3600
t = 3600/400
t = 9 minutes
Therefore, the slower runner takes 9 minutes to finish the race.
To find the time taken by the faster runner to finish the race, we can substitute the value of 's' in the equation:
3s * t = 3600
3 * 33.33 * t = 3600
t = 3600/(3 * 33.33)
t ≈ 36/10
t ≈ 3.6 minutes
Since the faster runner takes 3.6 minutes to finish the race, which is equivalent to 3 minutes and 36 seconds, the answer is approximately 3 minutes and 36 seconds.
Converting this into minutes, we get:
3 minutes + 36 seconds/60 = 3.6 minutes
Therefore, the time taken by the faster runner to finish the race is approximately 3.6 minutes, which is equivalent to 3 minutes and 36 seconds.
Free Test
FREE
| Start Free Test |
Community Answer
In a 3600 m race around a circular track of length 400m, the faster r...
It is given that faster runner runs at thrice the speed of the slowest runner. Therefore, the faster runner would have completed three rounds by the time slower runner completes one round. This will be their second meeting,since they would have met when faster runner covers one and half rounds.
Hence, in 4 minutes he covers one and half rounds i.e 600m. To finish the race, time taken by the faster runner = 24 minutes [(3600/600) X 4]
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
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer?
Question Description
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. 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 In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer?.
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. 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 In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. 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 In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.a)20 minutesb)24 minutesc)26 minutesd)28 minutesCorrect answer is option 'B'. 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
|
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