SOLUTION: Wilma drove at an average speed of 40 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 35 mi/h. She returned

Question 898420: Wilma drove at an average speed of 40 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 35 mi/h. She returned home 40 hours after leaving. How many miles is City A from City B.
Other info:
The solution cannot be calculated using the formula that already exists to find distances using time and speed.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Wilma had actual
hours of driving time
Let = time in hrs for her to
drive from A to B
= time in hrs for her to
drive from B to A
Let = one-way distance from A to B
-------------------------------------
Equation for A to B:

Equation for B to A

---------------------
By substitution:

and

-----------------

-----------------
City A is 560 miles from City B
-----------------
check:

OK

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