Question:
a steamer goes upstream and covers the distance between 2 ports in 5 hours while it covers the same distance downstream in 4 hours if the speed of the stream in 5 km/hour find the speed of the steamer in still water
Answer:
Let the speed of the stream in still water = x km/hr
Speed of the stream while going upstream = (x - 5) km/hr
Distance covered upstream = speed * time
= (x - 5) * 5
= 5(x - 5)
Speed of the stream while going downstream = (x + 5) km/hr
Distance covered downstream = speed * time
= (x + 5) * 4
= 4(x + 5)
Now, accordinh to question,
5(x - 5) = 4(x + 5)
=> 5x - 25 = 4x + 20
=> 5x - 4x = 25 + 20
=> x = 45
So, the speed of the stream in still water = 45 km/hr
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