A boat takes 4 hours to go 300 kilometre down as if it take the same time to go 180 kilometre upstream the speed of boat in still water and the speed of stream representative or
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Step-by-step explanation:
Let the speed of the boast in still water be x km/hr. Let the speed of the stream by y km/hr. Down-stream, the relative speed of the boat is (x+y)km/hr and up-stream its relative speed is x−y km/hr. Using distance =speed×time, we obtain
300=(x+y)×5, and 150=(x−y)×5.
Thus we have two equations
x+y=60,..........(1)
x−y=30.........(2)
Adding these two, we get 2x=90 or x=45. Hence y=60−x=60−45=15.
Therefore the speed of the boat in still water is 45 km/hr. The speed of the steam is 15 km/hr.
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