SOLUTION: Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?      Log On


   

Question 77183: Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
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Leon DATA:
distance= 270 mi ; rate= x mph ; time=270/x hrs
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Pat DATA:
distance = 330 mi ; rate= x+10 mph ; time = 330/(x+10)
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EQUATION:
time = time
270/x = 330/(x+10)
9(x+10) = 11x
9x+90 = 11x
2x=90
x=45 mph (Leon's rate)
x+10= 55 mph (Pat's rate)
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Cheers,
Stan H.