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 7:5:2, respectively. If the time taken by boat ‘A’ to travel (6D – 30) km downstream is equal to the time taken by boat ‘B’ to travel (D + 60) 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 7x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (6D – 30)/(7x + 2x) = (D + 60)/(5x – 2x) Or, 18D – 90 = 9D + 540 Or, 9D = 630 Or, D = 70
Witness to character may be
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