If in a 200 m race, A beats B by 31 m and C by 18 m, then in a 350 m race, C will beat B by

25 m

The correct answer is Option (3) → 25 m

Let the speed of A, B and C be $S_A,S_B$ and $S_C$ respectively.

$⇒\frac{S_B}{S_A}=\frac{169}{200}$ and $\frac{S_C}{S_A}=\frac{182}{200}$

$⇒\frac{S_B}{S_C}=\frac{169}{182}$

∴ Distance covered by $B=\frac{169}{182}×350$

$=325.55m$

∴ Difference = $350-325.55≃25m$