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1. Two runner start running together for a certain distance, one at 5 km/h and another at 8 km/h. The former arrives one and half an hour before the latter. The distance in Km is :

A. 12 km

B. 20 km

C. 25 km

D. 36 km

Solution:

\begin{aligned} Let x be the distance, then \\ \frac{x}{5} - \frac{x}{8} = \frac{3}{2} \\ \Rightarrow \frac{8 x - 5 x}{40} = \frac{3}{2} \\ \Rightarrow \frac{3 x}{40} = \frac{3}{2} \\ ∴ x = 20 km \end{aligned}

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