Given:
A motorboat takes 5 hours to travel 200 kilometers going upstream.
Let the speed of the motorboat = x
And the rate of the current = y
Note: rate = distance over the time
so,
And The return trip takes 4 hours going downstream
So,
Solve the equations (1) and (2) to find x and y
Add the equations to eliminate y
Substitute into equation (2) to find y
So, the answer will be:
Rate of the boat = 45 km/h
Rate of the current = 5 km/h