Practice | Hashtable

1. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

A. 21 m

B. 26 m

C. 28 m

D. 29 m

Solution:

\begin{aligned} A : B = 100 : 75 \\ B : C = 100 : 96 \\ ∴ A : C = \frac{A}{B} \times \frac{B}{C} \\ = \frac{100}{75} \times \frac{100}{96} \\ = \frac{100}{72} \\ 100 : 72 \\ ∴ A beats C b y \\ = (100 - 72) m \\ = 28 m \end{aligned}

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