[25 m] 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:

For Competitive Exams

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:

22.75 m

25 m

19.5 m

7$ \dfrac{4}{7} $m

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

$ \dfrac{C}{B} $=$ \left(\dfrac{C}{A} \times\dfrac{A}{B} \right) $=$ \left(\dfrac{182}{200} \times\dfrac{200}{169} \right) $= 182 : 169.

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers$ \left(\dfrac{169}{182} \times 350\right) $m= 325 m.

Therefore, C beats B by $\left(350 - 325\right)$ m = 25 m.

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