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

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

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