A boy goes to school at a speed of 5 km h and returns to the village at a speed of 4 km h If he take...........

Quant (SSC) Time & distance

A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/h. If he takes 4 hours and 30 minutes in all, what is the distance between the village and the school?

7 km

10 km

5 km

4 km

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Explanation:

Let the distance between village and school = x km
Time taken to travel from village to school at a speed of 5 km/h
t₁ = x/5 hrs
Time taken to travel from school to village at a speed of 4 km/h
t₂ = x/4 hrs
Given: total time taken = 4 hrs 30 minute
t = t₁ + t₂= 4 30/40 hrs
t = 9/2 hrs
Thus, x/5 + x/4 = 9/2
Or, x = 10 km
∴ The distance between village and school = 10 km