Q101 of 113 Page 110

A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?

Let the steamer speed be x

Downstream speed = (x + 3)


Distance between the points = 3(x + 3)⋯(i)


Upstream speed = (x-3)


Distance between the points = 5(x-3)⋯(ii)


Equate (i) and (ii)


3(x + 3) = 5(x-3)


3x + 9 = 5x-15


-2x = -6


(divide by -2 on both the sides)


x = 3


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