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:
Answer: Option B
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A : B = 200 : 169.
A : C = 200 : 182.
\(\frac{B}{C}=\left(\frac{C}{A}\times\frac{A}{B}\right)=\left(\frac{182}{200}\times\frac{200}{169}\right)=182:169.\)
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers \(\left(\frac{169}{350}\times350\right)m=325m
\)
Therefore, C beats B by (350 - 325) m = 25 m.
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