SOLUTION: laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. if the entire trip took 27 min, how far did she run in all

Question 991470: laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. if the entire trip took 27 min, how far did she run in all
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. if the entire trip took 27 min, how far did she run in all
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To the Lake DATA:
rate = 10 mph ; distance = x miles ; time = x/10 hrs
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Back to home DATA:
rate = 8 mph ; distance = x miles; time = x/8 hrs
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Equation:
time + time = (28/60) hrs
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x/10 + x/8 = 7/15
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15*8x + 15*10x = 7*8*10
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120x + 150x = 560
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270x = 560
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x = 2.07 miles
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Cheers,
Stan H.
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