Question
Buses start from a bus terminal with a speed of 10 km/hr
at intervals of 8 minutes. What is the speed of a boy coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 5 minutes?Solution
Let the speed of boy = x kmph According to the question, Distance travelled by bus in 8 min with 10 kmph = Distance travelled by boy in 5 min with (10 + x) kmph in opposite direction => 10 × 8/60 = 5/60 (10 + x) => 80 = 50 + 5x => x = 30/5 = 6 kmph.
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