SOLUTION: It takes Matt 2 hours to row 9 miles with the current and 6 hours to return against the current. How fast is he rowing and how fast is the current?

Question 887347: It takes Matt 2 hours to row 9 miles with the current and 6 hours to return against the current. How fast is he rowing and how fast is the current?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
It takes Matt 2 hours to row 9 miles with the current and 6 hours to return against the current. How fast is he rowing and how fast is the current?
***
let x=Matt's rowing speed
let c=speed of current
x+c=speed with current
x-c=speed against current
travel time=distance/speed
..

..
2x+2c=9
6x-6c=9
..
6x+6c=27(mult. by 3)
6x-6c=9
add
12x=36
x=3
..
2c=9-2x=9-6=3
c=3/2=1.5
..
Matt's rowing speed=3 mph
speed of current=1.5 mph

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