Question
The ratio of speed of stream to downstream speed of a
boat is 2:7. If the boat covers 350 km in still water in 10 hours, find the time taken to cover 420 km upstream.Solution
ATQ, Let the speed of the stream = x km/hr Speed of the boat in still water = 350/10 = 35 km/hr Downstream speed of the boat = (35 + x) km/hr Given, stream : downstream = 2 : 7 So, (35 + x)/x = 7/2 2(35 + x) = 7x 70 + 2x = 7x x = 14 km/hr Upstream speed of the boat = 35 − 14 = 21 km/hr Required time = 420/21 = 20 hours
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