SOLUTION: Mike drove from New City to Old Village at an average speed of 60 m/h to visit his parents. On the way back he needed to speed up to catch a baseball game with a friend, so he drov

Question 421237: Mike drove from New City to Old Village at an average speed of 60 m/h to visit his parents. On the way back he needed to speed up to catch a baseball game with a friend, so he drove at 75 m/h. His trip involved a total of 5 hours of driving time. What is the distance between New City and Old Village. (Any help would be much appreciated, i am doing questions for a practice exam.)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You need 2 equations, one for NYC to OV, and one for OV to NYC
Let = distance from NYC to OV
Let = time to go NYC to OV
------------------
NYC to OV

OV to NYC

--------------
This is 2 equations and 2 unknowns, so it's solvable
By substitution:

and

mi
The distance is 166.67 miles
check answer:

close enough
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