Question 1026592
Kristina went on a 260 mile trip to a soccer game. On the way back, due to road construction she had to drive 13 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? 
She drove how many mph on her way to the soccer game? 
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To the game DATA:
dist = 260 miles: rate = r mph ; time = 260/r hrs.
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From game DATA:
dist = 260: rate = r-13 mph ; time = 260/(r-13) hrs
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Equation:
from time - go time = 1 hr
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260/(r-13) - 260/r = 1 hr
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260r - 260r + 13*260 = r(r-13)
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r^2 - 13r - 13*260 = 0
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(r-65)(r+52) = 0
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Positive solution:: rate = 65 mph
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Cheers,
Stan H.
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