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 7:4:2, respectively. If the time taken by boat βAβ to travel (7D β 20) km downstream is equal to the time taken by boat βBβ to travel (D + 65) 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 7x km/hr, 4x km/hr and 2x km/hr, respectively. According to the question, (7D β 20)/(7x + 2x) = (D + 65)/(4x β 2x) Or, 14D β 40 = 9D + 585 Or, 5D = 625 Or, D = 125
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