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) About Me  (Show Source):
You can put this solution on YOUR website!
How far does Stacy get in +24+ min ?
+d%5B1%5D+=+6%2A%28+24%2F60+%29+
+d%5B1%5D+=+24%2F10+
+d%5B1%5D+=+2.4+ mi
--------------------
After +24+ min, they will be
+20+-+2.4+=+17.6+ mi apart,
and you start a stopwatch to
measure time +t+ in hrs untill they meet
------------------------------
Let +d+ = distance in miles Heather has
to walk utill they meet
------------------------------
Heather's equation:
(1) +d+=+5t+
Stacy's equation:
(2) +17.6+-+d+=+6t+
------------------------
Plug (1) into (2)
(2) +17.6+-+5t+=+6t+
(2) +11t+=+17.6+
(2) +t+=+1.6+ hrs
-------------------------
In +1.6+ hrs, Heather has walked:
+d+=+5%2A1.6+
+d+=+8+
------------------
Heather walked 8 miles from her original
destination until they meet
-------------------------
check:
Stacy must have walked +17.6+-+8+=+9.6+ mi
+9.6+=+6%2A1.6+
+9.6+=+9.6+
So Stacy walked a total of +2.4+%2B+9.6+=+12+ mi
and added to Heather's distance,
+12+%2B+8+=+20+ mi
OK