A boat traveled 96 miles downstream and back. The trip downstream took 4 hours. The trip back took 12 hours. Find the speed of the boat in still water and the speed of the current

Speed of boat is still water: 16 miles per hour.

Speed of current: 8 miles per hour.

Step-by-step explanation:

Let x represent speed of boat in still water and y represent speed of current.

Downstream speed would be .

Upstream speed would be .

We have been given that a boat traveled 96 miles downstream and back. The trip downstream took 4 hours.  

We are also told that the trip back took 12 hours. We can represent this information in an equation as:

Upon adding equation (1) and equation (2), we will get:

Therefore, the speed of boat in the still water is 16 miles per hour.

Upon substituting in equation (1), we will get:

Therefore, the speed of the current is 8 miles per hour.

this is false ^.^ lol