SOLUTION: "nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 7am and averages 30 mph. mark leaves at 7:15 and averages 40 mph. at what time will th

Question 729735: "nancy and mark commute to work, traveling in opposite directions. Nancy leaves the house at 7am and averages 30 mph. mark leaves at 7:15 and averages 40 mph. at what time will they be 165 miles apart".
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Nancy has hr head start.
mi is her head start
Start a stopwatch when Mark leaves and stop
it when they are mi apart.
------------------------------
Let = the time on the stopwatch when stopped
Let = distance in miles Nancy travels in time
= distance in miles Mark travels in time
------------------------------
Nancy's equation:
(1)
Mark's equation:
(2)
---------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
7:15 AM + 2.25 hrs = 9:40 AM
They are 165 mi apart at 9:40 AM
check:
(1)
(1)
(1)
---------------
(2)
(2)
(2)
(2)
(2)
OK

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