SOLUTION: Hi my name is Jared Attwell. I am taking a math clasds my question is While taking a connecting train, a traveler takes a bus ride at 10 miles an hour to a certain point and the

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Question 518365: Hi my name is Jared Attwell. I am taking a math clasds my question is
While taking a connecting train, a traveler takes a bus ride at 10 miles an hour to a certain point and then walks back 2 miles an hour. If he returns 3 hours after he left, how far did he walk?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a traveler takes a bus ride at 10 miles an hour to a certain point and then walks back 2 miles an hour.
If he returns 3 hours after he left, how far did he walk?
:
Let d = the distance walked (and rode by bus)
:
Write a time equation, time = dist/speed
:
bus time + walk time = 3 hrs
d%2F10 + d%2F2 = 3
multiply by 10
10*d%2F10 + 10*d%2F2 = 10(3)
cancel out the denominators
d + 5d = 30
6d = 30
d = 30/6
d = 5 miles walked
;
:
Check solution of d=5 by finding the times
5/10 = .5 hrs
5/2 = 2.5 hrs
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total: 3 hrs