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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 :
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \text{Let }x\text{ be the distance, then} \cr
& \frac{x}{5} - \frac{x}{8} = \frac{3}{2} \cr
& \Rightarrow \frac{8x - 5x}{40} = \frac{3}{2} \cr
& \Rightarrow \frac{3x}{40} = \frac{3}{2} \cr
& \therefore x = 20\,{\text{km}} \cr} $$
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