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29 Dec 2021, 05:45
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
63% (02:53) correct
37%
(02:51)
wrong
based on 266
sessions
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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. 36 minute
B. 24 minute
C. 16 minute
D. 12 minute
E. 10 minute
Are You Up For the Challenge: 700 Level Questions
A. 36 minute
B. 24 minute
C. 16 minute
D. 12 minute
E. 10 minute
Are You Up For the Challenge: 700 Level Questions
05 Jan 2022, 04:57
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Ngl I didn't know the solution, but I looked at the answer choices and as the Fastest rider = 3x the Slowest one, I noticed that a common GMAT trick is to include the runtime of the slowest rider in the answer choices. And the only answers that have this relation are A and D so I picked D lol.
General Discussion
05 Jan 2022, 07:03
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Assuming that all runners starts from the same point.
Let the speed of the fastest runner = 3x m/s
speed of the slowest runner = x m/s
Relative speed of the fastest runner with respect the slowest runner
=3x−x=2x
When the fastest and slowest runners meet for the first time, fastest runner would have run 1 round (400 m) more when compared to the slowest runner.
i.e., in 4 min (240 sec), fastest runner run 400 m more when compared to the slowest runner.
400/2x=240
5/2x=3
x=5/6
Speed of the fastest runner =3x=3×5/6=2.5 m/s
Time taken by the faster runner to finish the race
=3600/2.5=1440 seconds = 24 minutes
Let the speed of the fastest runner = 3x m/s
speed of the slowest runner = x m/s
Relative speed of the fastest runner with respect the slowest runner
=3x−x=2x
When the fastest and slowest runners meet for the first time, fastest runner would have run 1 round (400 m) more when compared to the slowest runner.
i.e., in 4 min (240 sec), fastest runner run 400 m more when compared to the slowest runner.
400/2x=240
5/2x=3
x=5/6
Speed of the fastest runner =3x=3×5/6=2.5 m/s
Time taken by the faster runner to finish the race
=3600/2.5=1440 seconds = 24 minutes
