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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.18.5 m

Answer: B

A : B = 200 : 169.
A : C = 200 : 182.
C/A = (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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