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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:

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

Answer and Explanation

Answer:25 m

Explanation:
A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A) x (A/B) = 182/200 x 200/169 = 182 : 169.

When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/182) x 350 m = 325 m.

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

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