Question

the steamer goes downstream and cover the distance between two points and 5 hours while it covers the same distance upstream in 6 hours if the speed of the stream is one km per hour find the speed of the stream in still water

Answer 1

Let the steamer speed will be x.

Downstream speed = (x+1)

Distance between the points = 5(x+1)    ---------- (1)

Upstream speed = (x-1)

Distance between the points = 6(x-1)     ------------ (2)

On solving (1) and (2), we get

5(x+1) = 6(x-1)

5x+5 = 6x - 6

x = 11.

Hope this helps!