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 11:5:2, respectively. If the time taken by boat βAβ to travel (9D β 26) km downstream is equal to the time taken by boat βBβ to travel (D + 50) 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 11x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (9D β 26)/(11x + 2x) = (D + 50)/(5x β 2x) Or, 27D β 78 = 13D + 650 Or, 14D = 728 Or, D = 52
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