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) (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
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