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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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3 Comments
Naresh Chamoli
Naresh Chamoli 6 years ago
Their is change in values instead of 5kmph it is 8 and for 3kmph it is 5 rest is same....and this solution is wrong they just copied it from....supporting material
Mithun Chakraborty
Mithun Chakraborty 8 years ago
perhaps, it's a typing mistake.
Jyoti Chothwani
Jyoti Chothwani 9 years ago
Another one runs at speed of 3 km/h and not at 8 km/h.