SOLUTION: An Everglades air boat travels 78 miles downstream in the same amount of time it requires to move upstream a distance of 48 miles. The boat's engines drive in still water at an ave

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An Everglades air boat travels 78 miles downstream in the same amount of time it requires to move upstream a distance of 48 miles. The boat's engines drive in still water at an ave      Log On


   



Question 251909: An Everglades air boat travels 78 miles downstream in the same amount of time it requires to move upstream a distance of 48 miles. The boat's engines drive in still water at an average rate of 16 mph greater than the rate of the current. Find the speed of the boat and the water current.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This makes no sense.
"The boat's engines drive in still water at an average rate of 16 mph greater than the rate of the current."
Either the water has a current or not. If there is a current, the water is not still.
r*t=d
(16+r)*t=78
t=78/(16+r)
(16-r)*t=48
t=48/(16-r)
78/(16+r)=48/(16-r)
r = 80/21
r=~3.80952 current
r=~19.80952 boat with current
r=~12.19048 boat against current