

Let the speed of the current be x m/s
Let the speed of the boat in still water be y m/s
Now given that PQ upstream time taken = Distance / Speed
= D/ (x + y) = 4 s --------------Eqn (1)
Similarly, QP downstream time taken = Distance / Speed
= D/ (x – y) = 6s ---------------Eqn (2)
Divide (1) by (2)
(x – y) / (x + y) = 4/6
6(x –y) = 4 (x + y)
2x = 10y which is x = 5y
Hence, Eqn (1) becomes D / (5y + y) = 4 sec
D/y = 24 sec ---------------------Eqn (3)
Now, in a calm river or still water, same distance will be covered in time t = Distance / Speed of boat in still water = D/y which can be got from Eqn 3 as 24sec.
