Practice | Hashtable

1. 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. $7 \frac{4}{7}$ m

Solution:

\begin{aligned} A : B = 200 : 169 \\ A : C = 200 : 182 \\ \frac{C}{B} = \frac{C}{A} \times \frac{A}{B} \\ = \frac{182}{200} \times \frac{200}{169} \\ = 182 : 169 \end{aligned}

When C covers 182 m, B covers 169 m
When C covers 350 m, B covers

(\frac{169}{182} \times 350) m = 325 m

∴ C beats B by (350 - 325) m = 25 m

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