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In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

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1. 

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

[A]. 22.75 m
[B]. 25 m
[C]. 19.5 m
[D]. 7 4/7 m

Answer: Option B

Explanation:

 

A : B = 200 : 169.

A : C = 200 : 182.

C = 1-sym-oparen-h1 C x A 1-sym-cparen-h1 = 1-sym-oparen-h1 182 x 200 1-sym-cparen-h1 = 182 : 169.
B A B 200 169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers 1-sym-oparen-h1 169 x 350 1-sym-cparen-h1m = 325 m.
182

Therefore, C beats B by (350 - 325) m = 25 m.

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