Math, asked by biomesnaturals, 9 months ago

A steamer goes downstream and covers the distance between two ports in 4 hours and covers the same distance upstream in 5 hours. Find the spedd of the steamer, if the water is flowing at a speed of 1.5 kmph.

Answers

Answered by NewBornTigerYT

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Let the speed of the steamer in still water be x km/h.

Then, the speed downstream =(x+1.5) km/h

and the speed upstream =(x−1.5) km/h

Given, distance covered in 4 hours downstream = distance covered in 5 hours upstream

∴4(x+1.5)=5(x−1.5)

⇒4x+6=5x−7.5

⟹4x−5x=−6-7.5

=>-x=-13.5

[Transposing 5x to LHS and 6 to RHS]

⟹−x=−13.5 or x=13.5km/h

Answered by BrightOne