SOLUTION: A boat goes 150 miles downstream in the same time it can go 120 miles upstream. The speed of the current is 6 miles per hour. Find the speed of the boat in still water.

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Question 766497: A boat goes 150 miles downstream in the same time it can go 120 miles upstream. The speed of the current is 6 miles per hour. Find 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 speed x mph
current speed 6 mph
..
against current x - 6 mph
with current x + 6 mph

Distance against current 120
Distance with current 150
Time = same equate the time against with time with current
t=d/r
120 /(x- 6 )= 150 /(x+ 6 )
120 *(x+ 6 )= 150 *(x- 6 )
120 x + 720 = 150 x -900
120 x -150 x = -900 + -720
-30 x = -1620
/ -30
x= 54 mph
m.ananth@hotmail.ca