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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: Option B

Solution(By Examveda Team)

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

This Question Belongs to Arithmetic Ability >> Speed Time And Distance

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Comments ( 3 )

  1. Naresh Chamoli
    Naresh Chamoli :
    4 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

  2. Mithun Chakraborty
    Mithun Chakraborty :
    6 years ago

    perhaps, it's a typing mistake.

  3. Jyoti Chothwani
    Jyoti Chothwani :
    6 years ago

    Another one runs at speed of 3 km/h and not at 8 km/h.

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