Question

A boy goes to school at a speed of 6 km/h and returns to the village at a speed of 5 km/h. If he takes 2 hours and 45 minutes in all, what is the distance between the village and the school?

1. 5.5 km
2. 6.67 km
3. 8.5 km
4. 7.5 km

Answer 1

Correct Answer - Option 4 : 7.5 km

Let d be the distance(km) b/w village and school.

According to question, d/6 + d/5 = 2.75

⇒ 11d/30 = 11/4

⇒ d = 30/4 = 7.5 km