Q107 of 113 Page 110

A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.

Let the steamer speed will be x

Downstream speed = (x + 1)


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


Upstream speed = (x-1)


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


on solving (i) and (ii)


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


5x + 5 = 6x-6


5x-6x = -6-5


-x = -11


x = 1


The steamer speed will be 11km/hr


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