Question
A person travels from town A to town B at 30 km/h and returns from B to A at 45 km/h. If the distance between A and B is 120 km, find his average speed for the whole journey.
Solution
Distance A to B = 120 km Distance B to A = 120 km Total distance = 120 + 120 = 240 km Time from A to B = 120 / 30 = 4 hours Time from B to A = 120 / 45 = 8/3 hours Total time = 4 + 8/3 = (12/3 + 8/3) = 20/3 hours Average speed = Total distance / Total time = 240 ÷ (20/3) = 240 × 3 / 20 = 36 km/h
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