SOLUTION: A plane leaves Chicago flying due east at 225 mph. While a train that left 2 1/4 hours earlier is going due east at 85 mph. How much time will it take them to be 750 miles apart

Question 879274: A plane leaves Chicago flying due east at 225 mph. While a train that left 2 1/4 hours earlier is going due east at 85 mph. How much time will it take them to be 750 miles apart?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What is the train's head start?

mi
----------------------
Let = the distance the plane travels
when they are mi apart
Let = the time that the plane travels
when they are mi apart
--------------------------------
Plane's equation:
(1)
Train's equation:
(2)
-------------------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
also
It will take them 6 hrs and 43 min
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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