SOLUTION: Two people leave a town traveling in oposite directions. One person leaves at 11:00am driving at 48mph while the second person leaves at 3:00pm and drives at 55mph, At what time wi
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Question 696528: Two people leave a town traveling in oposite directions. One person leaves at 11:00am driving at 48mph while the second person leaves at 3:00pm and drives at 55mph, At what time will they be 604 miles part?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start does the 1st person have?
3:00 PM minus 11:00 AM is hrs
miles
Start a stop watch when the 2nd person leaves at 3 PM
Let = time on the stop watch
when they are mi apart
Let = The distance that the 2nd person has to
travel until they are mi apart
( they are already mi apart )
---------------------------------
1st person's equation:
(1)
2nd person's equation:
(2)
--------------------
(1)
Substitute (2) into (1)
(1)
(1)
(1)
This is the time on the stop watch which started at 3 PM
They will be 604 miles apart at 7 PM
----------------
check answer:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
--------------
The 2nd person travels 220 mi after 1st person
travels 192 mi and an additional mi
OK
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