Question

a steamer goes downstream and covers a distance between two ports in 5 h, while it covers the same distance upstream in 6 hrs if the speed of the stream is 2 km/h, then find the speed of steamer in still water

Answer 1

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Linear Equations in One Variable

Solving Linear Equations with Variable on Both Sides

A steamer goes downstream a...

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A steamer goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, find the speed of the steamer in still water.

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ANSWER

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+2)=5(x−2)

⇒4x+8=5x−10

⟹4x−5x=−10−8

[Transposing 5x to LHS and 8 to RHS]

⟹−x=−18 or x=18km/h

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Answer 2

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