3. 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?
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3. 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?
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Answer:
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
----------------
tot time 3 hrs
Given : A man walks at the rate of 4 miles per hour. he must be
back home 3 hours from the time he started
To Find : How far can he walk into the country
and ride back on a trolley that travels at the rate of 20 miles per hour,
Solution:
Distance = Speed x Time
Let say D is the distance man can walk
Speed of Man = 4 miles / hr
Time = D/4 hr
Trolley speed = 20 Miles/hr
Time = D/20 hr
Total Time = 3 hrs
=> D/4 + D/20 = 3
=> 5D + D = 60
=> 6D = 60
=> D = 10
10 Miles far walk into the country
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