SOLUTION: A man rows a boat 825 feet upstream against a constant current in 15 minutes. He then rows 390 feet downstream (with the same current) in 6 minutes. (a) Find the speed of the c

Question 526730: A man rows a boat 825 feet upstream against a constant current in 15 minutes. He then rows 390 feet downstream (with the same current) in 6 minutes.
(a) Find the speed of the current. (Round your answer to the nearest whole number.)
_______ ft/min
(b) Find the equivalent rate at which boat can row in still water. (Round your answer to the nearest whole number.)
______ ft/min
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man rows a boat 825 feet upstream against a constant current in 15 minutes.
He then rows 390 feet downstream (with the same current) in 6 minutes.
:
Find his effective rate rowing upstream" 825/15 = 55 ft/min
Find his effective rate rowing downstream 390/6 = 65 ft/min
:
Let r = the rate in still water
Let c = the rate of the current
:
Write an equation for each scenario:
r - c = 55
r + c = 65
------------adding eliminates c, find r
2r = 120
r = 120/2
r = 60 ft/min in still water
:
Find the rate of the current
60 + c = 65
c = 65 - 60
c = 5 ft/min is the current
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