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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