Question
A boy walks from his home to school at 4 km/h and
returns by bicycle at 12 km/h. If the total time taken for the to-and-fro journey is 2 hours, find the distance between his home and school.Solution
Let one-way distance = d km. Time walking (home → school) = d / 4 Time cycling (school → home) = d / 12 Total time = d/4 + d/12 = 2 LCM of 4 and 12 is 12: d/4 = 3d/12 So 3d/12 + d/12 = 2 4d/12 = 2 d/3 = 2 d = 6 km Answer: The distance between home and school is 6 km.
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