Question

A boy goes to his school from his home at a speed of 3 km/h and returns at a speed of 2 km/h. If he takes a total of 5 hours in travelling, find the distance between his school and home

Answer 1

Let , the distance between the school and the home be X km

Time taken by the boy the reach the school=(distance ÷ speed)=X/3 h

Time taken by boy to come back to the home=(distance ÷time)=X/2 h

We know ,X/3h + X/2h=5h

(Lcm of 3 and 2 in 6)

Hence,(3X +2X)/6=5

5X/6=5

5X=6×5=30

5X=30

X= 30/5 =6

Hence ,the distance between the home and the school is 6 Km