SOLUTION: Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 m

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Question 1071256: Stacy and Heather are 20 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
How far does Stacy get in min ?


mi
--------------------
After min, they will be
mi apart,
and you start a stopwatch to
measure time in hrs untill they meet
------------------------------
Let = distance in miles Heather has
to walk utill they meet
------------------------------
Heather's equation:
(1)
Stacy's equation:
(2)
------------------------
Plug (1) into (2)
(2)
(2)
(2) hrs
-------------------------
In hrs, Heather has walked:


------------------
Heather walked 8 miles from her original
destination until they meet
-------------------------
check:
Stacy must have walked mi


So Stacy walked a total of mi
and added to Heather's distance,
mi
OK


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