SOLUTION: The speed of a stream is 2 mph. A boat travel 12 miles upstream in the same time it takes to travel 16 miles downstream. what is the speed of the boat in Stillwater?

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Question 871925: The speed of a stream is 2 mph. A boat travel 12 miles upstream in the same time it takes to travel 16 miles downstream. what is the speed of the boat in Stillwater?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
rowing boat speed x mph with no current
current speed 2 mph

against current x - 2 mph
with current x + 2 mph

Distance against current 12
Distance with current 16
Time = same equate the time against with time with current
t=d/r
12 /(x- 2 )= 16 /(x+ 2 )
12 *(x+ 2 )= 16 *(x- 2 )
12 x + 24 = 16 x -32
12 x -16 x = -32 + -24
-4 x = -56
/ -4
x= 14 mph