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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
---
s = d / t
t = d / s
---
out:
t = d / s
x = 100 / 50 = 2 hours
---
return:
t = d / s
y = 100/s
---
round trip time:
3 + 40/60 = 3.666666 hours
3 + 2/3
9/3 + 2/3
11/3 = 3.666666 hours
---
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)
---
answer:
s = 60 mph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php