SOLUTION: the distance between two cities is one hundred miles, a woman drives from one city to the other at a rate of fifty mph. At what rate must she return if the total is three hours and

Question 821334: the distance between two cities is one hundred miles, a woman drives from one city to the other at a rate of fifty mph. At what rate must she return if the total is three hours and forty minutes?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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s = d / t
t = d / s
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out:
t = d / s
x = 100 / 50 = 2 hours
---
return:
t = d / s
y = 100/s
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round trip time:
3 + 40/60 = 3.666666 hours
3 + 2/3
9/3 + 2/3
11/3 = 3.666666 hours
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x + y = 11/3
2 + 100/s = 11/3
100/s = 11/3 - 2
100/s = 11/3 - 6/3
100/s = 5/3
s = 100(3/5)
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answer:
s = 60 mph
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