SOLUTION: A boat travels 15 miles upstream and returns. If the boat travels 14 mph in still water, find the speed of the currrent if the total trip takes 2 hours and 20 minutes. I really

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Question 530762: A boat travels 15 miles upstream and returns. If the boat travels 14 mph in still water, find the speed of the currrent if the total trip takes 2 hours and 20 minutes.
I really only want to understand how to set the problem up, I have no problem with the algebra part :). Thank you so much to whoever helps me.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A boat travels 15 miles upstream and returns.
If the boat travels 14 mph in still water, find the speed of the current if the total trip takes 2 hours and 20 minutes.
:
Let c = the speed of the current
then
(14+c) = effective speed downstream
and
(14-c) = effective speed upstream
:
Change 2 hrs 20 min to 7%2F3 hrs
:
Write a time equation: time = dist/speed
:
Upstream time + downstream time = 2 hrs 20 min
15%2F%2814-c%29 = 15%2F%2814%2Bc%29 = 7%2F3