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