Question

in 3 hour Sheldon can row a Boat Ethan A certain distance upstream on 1.5 times that distance downstream if the speed of the current is 8 km per hour then find the speed of the boat in still water?​

Answer 1

Step-by-step explanation:

in 3 hour Sheldon can row a Boat Ethan A certain distance upstream on 1.5 times that distance downstream if the speed of the current is 8 km per hour then find the speed of the boat in still water?

Answer 2

Given:

Speed of current= $8km/hr$

Upstream:

 Distance= D

 Time= $3hrs.$

Downstream:

Distance = $1.5D$

 Time = $3hrs.$

To Find:

Speed of boat in still water, $x$

Solution:

Framing the above conditions into equations:

For Upstream:

 $Time=\frac{Distance}{Boat Speed-Current Speed}$

      $3=\frac{D}{x-8}$..............................(1)

For Downstream:

  $Time =\frac{Distance}{Boat Sped + Current Speed}$

     $3=\frac{1.5D}{x+8}$................................(2)

Solving eq(1) and eq(2), we get

$x=40$

Hence the speed of boat in still water is 40km/hr.