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 237799: 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 ankor@dixie-net.com(22740) (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?
:
Let t = time that S walked
the total time is given as 3 hrs, therefore:
(3-t) = time that S rode the bike
:
The dist to and from is equal. Write a dist equation: Dist = speed * time
walk dist = bike dist
2t = 10(3-t)
2t = 30 - 10t
2t + 10t = 30
12t = 30
t =
t = 2.5 hrs walking (2 hrs 30 min)
:
:
Check solution
3 - 2.5 = .5 hrs riding
Find the dist of each
2 * 2.5 = 5mi
10 * .5 = 5mi; confirms our solution
:
How about this? Make sense to you? Shed some light on these problems, perhaps?
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