SOLUTION: a woman walked to a lake at the rate of 3 mi./hand returned via a different path at the rate of 4 miles per hour. If the return trip took one hour less time,and the round-trip dist

Question 609485: a woman walked to a lake at the rate of 3 mi./hand returned via a different path at the rate of 4 miles per hour. If the return trip took one hour less time,and the round-trip distance was 10 miles, how long did the round-trip take to complete?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a woman walked to a lake at the rate of 3 mi/hr
returned via a different path at the rate of 4 miles per hour.
If the return trip took one hour less time, and the round-trip distance was 10 miles,
how long did the round-trip take to complete?
:
let t = time to the lake at 3 mph
let (t-1) = return time at 4 mph
:
Write a distance equation:
3t + 4(t-1) = 10
3t + 4t - 4 = 10
7t = 10 + 4
7t = 14
t = 2 hrs
:
"how long did the round-trip take to complete?"
2 + (2-1) = 3 hrs
:
:
Check this by finding the distance
3(2) + 4(1) = 10
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