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Question 56

There are two concentric circular track of radii 100m and 102m, respectively . A runs on the inner track and goes once round in 1 min 30 sec, while B runs on the outer track in 1 min 32 sec. Who runs faster?

Solution

First let us take out the circumferences of both circles.

Radius of inner circle = 100 m

∴Circumference of the inner track= 2πr

= 2×3.14×100

= 628 m

Radius of outer track= 102 m

So, Circumference of outer track=2πr = 2×3.14×102 = 753.6 m

Time taken by A = 1 min 30 sec = 90 sec

Time taken by B = 1 min 32 sec = 92 sec

Speed of A = Distance covered by A/ Time taken

= 628/90

= 6.98 m/s

Speed of B = Distance covered by B /time taken

=753.6/92

=8.19 m/s

Speed of A is smaller than the speed of B.

So, B runs faster.

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