The speed of a child while going to school is 2 kmph and returns to the village at a speed of 3 kmph. If he takes 5 hrs in all, what is the distance between the village and the school?

**(A)** 4 Km

**(B)** 6 Km

**(C)** 8 Km

**(D)** 10 Km

**Answer:** **(B)** **Explanation:** Let the required distance be x km.

Then time taken during the first journey = x/2 hr.

and time taken during the second journey = x/3 hr.

x/3 + x/2 = 5 => (2x + 3x) / 6 = 5

=> 5x = 30.

=> x = 6

Required distance = 6 km.

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