Amotorboat traveling with a current can go 160km in 4 hours. against the current it takes 5 hours to go the same distance. find the speed of motorboat and speed of current

Speed of the boat=36 km/h

Speed of the current=4 km/h

Step-by-step explanation:

We have the following data:

is the speed of the boat traveling with the current

is the speed of the boat traveling against the current

From here we can write two equations:

(1)

(2)

Where is the speed of the boat and is the speed of the curent

Adding both equations, we have:

(3)

Isolating :

(4)

(5)

(6) This is the speed of the motorboat

Now, substituting (6) in (1):

(7)

Finding :

(8) This is the speed of the current

i belive those are the ones that are under 90 degreese.