SOLUTION: Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at 10km/h. The entire trip took 3 hours. How long a time did Sylvia walk?

Question 401999: Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at 10km/h. The entire trip took 3 hours. How long a time did Sylvia walk?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at 10km/h. The entire trip took 3 hours. How long a time did Sylvia walk?
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Walk DATA:
rate = 2 km/h ; time = x hrs. ; distance = rt = 2x km
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Bike DATA:
rate = 10 km/h ; time = 3-x hrs ; distance = rt = 10(3-x) km
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Equation:
dist = dist
2x = 10(3-x)
2x = 30-10x
12x = 30
x = 5/2 = 2 1/2 hrs (Cathy's walk time)
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Cheers,
Stan H.
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