SOLUTION: Kevin rowed 10.5 mi downriver in 1.5 hours, but the return trip took 3.5 hours. find the rate Kevin rowed in still water and the current. let X =still water let Y = rate of c

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Question 856013: Kevin rowed 10.5 mi downriver in 1.5 hours, but the return trip took 3.5 hours. find the rate Kevin rowed in still water and the current.
let X =still water
let Y = rate of current

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
_____________speed__________time_________distance
Downriver_____X+Y____________1.5__________10.5
Upriver_______X-Y____________3.5__________10.5

RT=D the basic uniform rates travel relationship. R for speed, T for time, D for distance. You have two equations for your data.

%28X%2BY%291.5=10.5 and %28X-Y%293.5=10.5
Multiply all members by 2 to simplify:
highlight%283%28X%2BY%29=21%29 and highlight%287%28X-Y%29=21%29
Choose the method you want, for those two equations in X and Y.