8. A steamer covers the distance between two parts down the stream in 2 hours. It covers the same distance up the stream in 3 hours. If the speed of the stream be 3 km/hour, then find the speed of the steamer in still water.
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Step-by-step explanation:
Let the speed of the steamer in still water be x km/h.
Then, the speed downstream =(x+2) km/h
and the speed upstream =(x−3) km/h
Given, distance covered in 5 hours downstream = distance covered in 6 hours upstream
i e 5(x+2)= 6(x−3)
5x+10=6x-18
x= 28 km/hr
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