Question
A boat can cover 36 km in still water and 45 km in
downstream in 4 hours and 3 hours respectively. Find the time taken by the boat to cover 60 km upstream and 27 km downstream.Solution
Speed of the boat in still water = 36/4 = 9 km/h Downstream speed of the boat = 45/3 = 15 km/h Speed of the stream = 15 – 9 = 6 km/h Upstream speed of the boat = 9 – 6 = 3 km/h Time taken to cover 60 km upstream and 27 km downstream = 60/3 + 27/15 = 20 + 1.8 = 21.8 hours
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