Question

A steamer goes downstream and covers the distance between the two ports in 4 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 2 km/h , find the speed of the steamer in still water.​

Answer 1

Answer:

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−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