SOLUTION: The current in a stream moves at a speed of 7 mph. A boat travels 38 mi upstream and 38 mi downstream in a total time of 3 hr. What is the speed of the boat in still​ water

Algebra ->  Length-and-distance -> SOLUTION: The current in a stream moves at a speed of 7 mph. A boat travels 38 mi upstream and 38 mi downstream in a total time of 3 hr. What is the speed of the boat in still​ water      Log On


   



Question 1060376: The current in a stream moves at a speed of 7 mph.
A boat travels 38 mi upstream and 38 mi downstream in a total time of 3 hr. What is the speed of the boat in still​ water?

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let s be the speed of the boat in still water. Then:
38/(s+7) + 38/(s-7)=3
38(s-7)+38(s+7)=3sē-147
3sē-76s-147=0
Using the quadratic formula, we get a positive value of 27.1388622307 mph for the boat in still water. ☺☺☺☺