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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 :

a) 12 km
b) 20 km
c) 25 km
d) 36 km

Answer: b
Explanation:
$$\eqalign{ & \text{Let }x\text{ be the distance} \cr & \frac{x}{5} – \frac{x}{8} = \frac{3}{2} \cr & \frac{8x – 5x}{40} = \frac{3}{2} \cr & \frac{3x}{40} = \frac{3}{2} \cr & x = 20\,{\text{km}} \cr} $$

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