Question
The speed of a boat in still water is 11 times the speed
of the stream. If the difference between the upstream and downstream speed of the boats is 20 km/hr, then find the time taken by the boat to travel 200 km in upstream.Solution
Let the speed of the stream be ‘x’ km/hr Therefore, speed of the boat in still water = 11x km/hr Upstream speed of the boat = 11x – x = 10x km/hr Downstream speed of the boat = x + 11x = 12x km/hr According to the question, 12x – 10x = 20 => 2x = 20 => x = 10 Therefore, upstream speed of the boat = 10x = 100 km/hr Required time taken = 200/100 = 2 hours
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