SOLUTION: a barge takes 3 hours to move (at a constant rate) downstream for 27 miles, helped by a current of 3 miles per hour. if the barges engines are set at the same pace, find the time o

Question 858469: a barge takes 3 hours to move (at a constant rate) downstream for 27 miles, helped by a current of 3 miles per hour. if the barges engines are set at the same pace, find the time of its return trip against the current
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
With The Current:

D = r*t

27 = (r+3)*3

27/3 = r+3

9 = r + 3

9-3 = r

6 = r

r = 6

So the speed of the barge (with no current) is 6 mph.

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Against The Current:

D = r*t

27 = (r - 3)*t

27 = (6 - 3)*t

27 = 3*t

27/3 = t

9 = t

t = 9

It will take 9 hours for the barge to go against the current.

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