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.
Answer: 6 km
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
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