Question

A steamer goes downstream and covers the distance between two ports
in 5 hours while it covers the same distance upstream in 8 hours. If the
speed of the stream is 2 kilometre per hour. Find the speed of the
steamer in still water. Check your solution

Answer 1

Answer:

8.67km/h

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 5 hours downstream = distance covered in 8 hours upstream

therefore, 5(x+2)=8(x-2)

5x+10=8x-16

8x-5x=10+16

3x=26

x=8.67km/h