A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is.
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is.
Explanation
We are given:
Speed while going to school = 3 km/hr
Speed while returning home = 2 km/hr
Total time for the round trip = 5 hours
Step 1: Let the Distance Be "d" km
Time taken to go =d/3 hours
Time taken to return = d/2 hours
Since total time is 5 hours, d/3+d/2=5 Step 2: Solve for d Taking LCM of 3 and 2 = 6, 2d/6+3d/6=5 5d/6=5 5d=30 d=6 km