SOLUTION: A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the current. What still-water speed should the captain use

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Question 119999This question is from textbook Beginning and Intermediate Algebra
: A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the current. What still-water speed should the captain use to complete the tour in 5 hours? This question is from textbook Beginning and Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the current. What still-water speed should the captain use to complete the tour in 5 hours?
:
Dear Student, I think I interpreted this problem wrong. It seems they want to
know the speed required to return to the beginning (60 mi) in 5 hrs
:
Let s = still water speed
then
(s+5) = speed downstream
:
Write a time equation: Time = Distance/speed
:
Time down stream = 5 h
60%2F%28%28s%2B5%29%29 = 5
:
Multiply equation by (s+5) to get rid of the denominators, results:
60 = 5(s+5)
:
60 = 5s + 25
:
5s = 60 - 25
5s = 35
s = 35/5
s = 7 mph still water speed to return in 5 hours
:
:
Check by finding the distance going (7+5) mph for 5 hrs
12*5 = 80; confirms our solution
:
I truly regret giving you wrong information. Ankor