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?

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Question 319029: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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R1=2
R2=10
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.
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R1%2AT1=R2%2AT2
T1=%28R2%2FR1%29%29T2=%2810%2F2%29T2
1.T1=5%2AT2
.
.
2.T1%2BT2=3
Substitute eq. 1 into eq. 2,
5%2AT2%2BT2=3
6T2=3
T2=1%2F2
Then from eq. 2,
T1%2B1%2F2=3
T1=5%2F2 hrs