A boy goes to school with a speed of 3 km/hr. and return

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

1. 6 km.
2. 7 km.
3. 8 km.
4. 9 km.

Correct Option: A

Let The required distance be y km.
Then, y/3 + y/2 = 5
⇒ 2y + 3y = 30
⇒ y = 6 km