a steamer goes downstream and covers the distance between two ports in 4 hours .It covers the same distance in 5 hours when it goes upstream. If the steamer flows at 3 km per hour then find what is the speed of the steamer upstream
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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−2) km/h
Given, distance covered in 4 hours downstream = distance covered in 5 hours upstream
∴4(x+3)=5(x−3)
⇒4x+12=5x−15
⟹4x−5x=−12-15
⟹ x=27km/h
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