Who runs Faster?

A is running on interior circular track (radius 100m) and B is running on interior circular track (radius 102m). A complete in 1 min 30 sec and B completes it in 1 min 32 sec. Who runs faster?

  1. Both equal
  2. A faster
  3. B faster
  4. None of these
Anurag Mishra Professor Asked on 28th November 2015 in No Category.
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1 Answer(s)

Answer: (3) B faster

Explanation:-
The  interior radius of a circular track = 100 m
Then, the circumference of circular track = 2 x 22 x 100/7 m
Time taken by A to cover a round of a circular track = 1 min 30 sec
= 60 + 30
= 90 sec
Then, the speed of A = 44 x 100/90 x 7
= 6.94 m/sec

The exterior radius of a circular track = 102 m
Then, the circumference of a circular track = 2 x 22 x 102/7
Time taken by B to cover a round of track = 1 min 32 sec
= 60 + 32
= 92 sec

Then, the speed of B = 44 x 102/7 x 92
= 6.96 m/sec.

Thus,  the B runs faster than A.

Hence, the answer is (3) B faster.

Anurag Mishra Professor Answered on 29th November 2015.
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