SOLUTION: a boat can go 66 miles downstream and 54 miles upstream in the same amount of time. Find the rate of the boat in still water if the current is moving 2 mph. rate of boat=r rate of
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Question 463626: a boat can go 66 miles downstream and 54 miles upstream in the same amount of time. Find the rate of the boat in still water if the current is moving 2 mph. rate of boat=r rate of current =x Answer by graphmatics(170) (Show Source):
You can put this solution on YOUR website! Distance divided by rate equals time. Going down stream the rate is r+2 so for going down stream the time is
66/(r+2)
For going up stream the rate is r-2 so the time for going up stream is
54/(r-2)
The times are equal so
66/(r+2) = 59/(r-2)
Multiply this equation by (r+2)(r-2)
(r+2)(r-2)(66/(r+2)) = (r+2)(r-2)(59/(r-2))
(r-2)66 = (r+2)59
66r - 132 = 59r - 118
66r - 59r = 132 - 118
7r = 14
r = 14/7
r = 2
