SOLUTION: A barge takes 3 hours to move (at a constant speed) downstream for 27 miles, helped by a current of 3 miles per hour. If the barge's engines are set at the same pace, find the time

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A barge takes 3 hours to move (at a constant speed) downstream for 27 miles, helped by a current of 3 miles per hour. If the barge's engines are set at the same pace, find the time      Log On

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Question 324804: A barge takes 3 hours to move (at a constant speed) downstream for 27 miles, helped by a current of 3 miles per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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Let B be the barge speed in still water.
%28B%2B3%293=27
B%2B3=9
B=6
On the return trip, the current works against you.
%28B-3%29T=27
6-3%29T=27
3T=27
T=9
It takes 9 hours to make the return trip.