A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream is $1km/h. Find the speed of the steamer in still water and the distance between the ports.

Given:

Steamer goes downstream from one port to another in 9 hours

It covers the same distance upstream in 10 hours

To do: The speed of the stream be $1km/h. find the speed of the steamer in still water and the distance between the ports

Solution:

Let the speed of the steamer in still water = $x$

Speed of the stream = 1 km/h

Speed upstream = $x - 1$ and speed down stream = $x +1$

Time for upstream = 10 hours; time for downstream = 9 hours

Let D be the distance between the ports

D = speed $\times$ time

    = $ 10(x-1) = 9(x + 1)$

Solving $10x - 10 = 9x + 9 \ or \ 10x -9x = x = 9 + 10 $

or  $x = 19 \ kmph$

So speed of the steamer in still water = $19\ kmph$

Distance between ports

= $10(x-1) =10(19-1) = 10\times 18 = 180 \ km$

Tutorialspoint

Updated on: 10-Oct-2022

70 Views

Kickstart Your Career

Get certified by completing the course

Get Started