SOLUTION: This is a Distance, Rate and Time Problem: A man walks at the rate of 4 miles per hour. How far can he walk into the country and ride back on a trolley that travels at the rate

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Question 1071513: This is a Distance, Rate and Time Problem:
A man walks at the rate of 4 miles per hour. How far can he walk into the country and ride back on a trolley that travels at the rate of 20 miles per hour, if he must be back home 3 hours from the time he started?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A man walks at the rate of 4 miles per hour.
How far can he walk into the country and ride back on a trolley that travels at the rate of 20 miles per hour, if he must be back home 3 hours from the time he started?
:
let d = the one-way distance
:
Write a time equation. time = dist/speed
walk time + ride time = 3 hrs
d%2F4 + d%2F20 = 3
multiply equation by 20, cancel the denominators
5d + d = 60
6d = 60
d = 10 mi he walks into the country
:
:
Check this, find the actual time walking and riding
10/4 = 2.5 hrs
10/20 = .5 hrs
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tot time 3 hrs