SOLUTION: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 375 miles​ apart, their combined travel time is 9 hou

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Question 1158409: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 375 miles​ apart, their combined travel time is 9 hours. If Thaddeus drives at a rate of 40 miles per hour and Ian drives at a rate of 45 miles per​ hour, how long had each been​ driving?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the distance the slower one travels
= the distance the faster one travels
Let = the time the slower one travels
= the time the faster one travels
-----------------------
(1)
(2)
------------------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
and

---------------------
The slower one travels for 6 hrs
The faster one travels for 3 hrs
---------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK



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