### Question

**A boy goes to school with a speed of 3 km/hr and returns to the village with a speed of 2 km/hr. If he takes 5 hours in all, the distance between the village and the school is**

A. 8 km

B. 7 km

C. 6 km

D. 5 km

**Answer:** C

**Solution:**

Let the required distance be x km.

Then

x/3 + x/2 = 5

⇒ 2x + 3x = 30

⇒ 5x = 30

=> **x = 6 km**