Question
The speed of a boat in still water is 15 km/h and the
speed of the stream is 3 km/h. It goes from point A to point B downstream and returns upstream, taking a total time of 6 hours. What is the distance between A and B?Solution
ATQ, Downstream speed = 15 + 3 = 18 km/h Upstream speed = 15 − 3 = 12 km/h Let distance one way = d km Time downstream = d / 18 Time upstream = d / 12 Total time = 6 hours So, d/18 + d/12 = 6 LCM of 18 and 12 = 36 (2d + 3d) / 36 = 6 5d / 36 = 6 5d = 216 d = 216 / 5 = 43.2 km
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