A boat goes downstream and covers the distance between two ports in four hours while it covers the same distance in upstream in 6 hours. If the speed of the water is 2km/hr, find the speed of boat in still water in km/hr.
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Let the speed of the boat in still water be x km/hr.
Given that speed of the stream is 2km/hr.
Downstream speed = (x + 2)km/hr.
Upstream speed = (x - 2)km/hr.
Given that boat goes downstream in 4 hours and upstream in 5 hours.
= > 4(x + 2) = 5(x - 2)
= > 4x + 8 = 5x - 10
= > 4x - 5x = -10 - 8
= > -x = -18
= > x = 18.
Therefore, the speed of the boat in still water is 18 km/hr.
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