SOLUTION: Please help. A boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount as it takes to go 9 miles upstream,then what is the speed of the

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Question 177010: Please help.
A boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount as it takes to go 9 miles upstream,then what is the speed of the current?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A boat will go 15 miles per hour in still water. If he can go 12 miles downstream
in the same amount as it takes to go 9 miles upstream, then what is the speed of the current?
;
let x = speed of current
;
write a time equation: time = dist%2Fspeed
upstr time = downstr time
9%2F%2815-x%29 = 12%2F%2815%2Bx%29
cross multiply
9(15+x) = 12(15-x)
;
135 + 9x = 180 - 12x
;
9x + 12x = 180 - 135
;
21x = 45
x = 45%2F21
x = 2.143 mph current speed
:
:
check solution
9%2F%2815-2.143%29 = 12%2F%2815%2B2.143%29
9%2F%2812.857%29 = 12%2F%2817.143%29
.7 = .7; confirms solution