Question
A boat travels downstream at a speed that is (13/12)
times its speed in still water. If the boat takes 3 hours to cover 132 km going upstream, how long will it take to travel 208 km downstream?Solution
Let the downstream speed of the boat and speed of the boat in still water be 13x km/hr and 12x km/hr, respectively Therefore, speed of the stream = downstream speed - speed of boat in still water Or, speed of stream = 13x - 12x = 'x' km/hr And, upstream speed of the boat = 12x - x = 11x km/hr Or, 11x = 44 Or, 'x' = 4 So, downstream speed of the boat = 13x = 13 X 4 = 52 km/hr Required time = 208 ÷ 52 = 4 hours
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