SOLUTION: a boat travel 6 miles upstream in the same amount of time it can travel 10 miles downstream. If the speed of the current is 2 mph, what is the speed of the boat in still water?

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Question 839510: a boat travel 6 miles upstream in the same amount of time it can travel 10 miles downstream. If the speed of the current is 2 mph, what is the speed of the boat in still water?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
boat speed x mph
current speed 2 mph

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

Distance against current 6
Distance with current 10
Time = same equate the time against with time with current
t=d/r
6 /(x- 2 )= 10 /(x+ 2 )
6 *(x+ 2 )= 10 *(x- 2 )
6 x + 12 = 10 x -20
6 x -10 x = -20 + -12
-4 x = -32
/ -4
x= 8 mph
m.ananth@hotmail.ca