SOLUTION: Linda drove from Phila. to NYC at the rate of 50 mph. She made the trip from NYC to Phila., along the same route, traveling at 40 mph. Her total driving time was 3.6 hours. Find th

Question 502461: Linda drove from Phila. to NYC at the rate of 50 mph. She made the trip from NYC to Phila., along the same route, traveling at 40 mph. Her total driving time was 3.6 hours. Find the distance between Phila. and NYC.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Linda drove from Phila. to NYC at the rate of 50 mph.
She made the trip from NYC to Phila., along the same route, traveling at 40 mph.
Her total driving time was 3.6 hours.
Find the distance between Phila. and NYC.
:
Let d = dist from Philly to NY
Write a time equation, time = dist/speed
:
To time + return time = 3.6 hrs
+ = 3.6
multiply by 200 to clear the denominators, results
4d + 5d = 200(3.6)
9d = 720
d = 720/9
d = 80 mi
;
:
Check this by finding the actual time of each trip
80/50 = 1.6 hrs
80/40 = 2.0 hrs
-----------------
total: 3.6 hrs
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