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Question

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 :.


Options:
A .  22.75 m
B .  325 m
C .  19.5 m
D .  `7 4/7`m
Answer: Option B

A : B = 200 : 169  and  A : C = 200 : 182.

`C/B = (C/A xx A/B) = 182/200 xx 200/169) `  = 182 : 169

When C covers 182 m,  B covers 169 m.

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



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