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In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

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1. 

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

[A]. 5.4 m
[B]. 4.5 m
[C]. 5 m
[D]. 6 m

Answer: Option D

Explanation:

 

A : B = 100 : 90.

A : C = 100 : 87.

B = B x A = 90 x 100 = 30 .
C A C 100 87 29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs 1-sym-oparen-h1 29 x 180 1-sym-cparen-h1m = 174 m.
30

 B beats C by (180 - 174) m = 6 m.

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