Question
The ratio of the speed of boat ‘A’ in still water,
the speed of boat ‘B’ in still water and the speed of the current is 8:5:2, respectively. If the time taken by boat ‘A’ to travel (5D – 50) km downstream is equal to the time taken by boat ‘B’ to travel (D + 55) km upstream, then find the value of ‘D’.Solution
Let, the speeds of boat ‘A’ and boat ‘B’, in still water and the speed of the current be 8x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (5D – 50)/(8x + 2x) = (D + 55)/(5x – 2x) Or, 15D – 150 = 10D + 550 Or, 5D = 800 Or, D = 140
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