SOLUTION: Candice Leaves on a road trip driving at 25 miles per hour . Four hours later , her sister leaves from the same location driving at 50 miles per hour . How long after Liz leaves ho

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Question 979088: Candice Leaves on a road trip driving at 25 miles per hour . Four hours later , her sister leaves from the same location driving at 50 miles per hour . How long after Liz leaves home will she catch up to Candice ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Candice has a 4 hr head start on Liz
In that 4 hrs, Candice has traveled:
+d%5B1%5D+=+25%2A4+
+d%5B1%5D+=+100+ mi
-------------------
Start a stop watch when Liz leaves
Let +d+ = the distance in miles that
Liz travels until she catches Candice
Let +t+ = time in hrs on the stop watch
when Liz catches Candice
-----------------------------------
Candice's equation:
(1) +d+-+100+=+25t+
Liz's equation:
(2) +d+=+50t+
----------------------
Substitute (2) into (1)
(1) +50t+-+100+=+25t+
(1) +25t+=+100+
(1) +t+=+4+
4 hrs after Liz leaves, she will catch Candice
-----------------
check:
(2) +d+=+50t+
(2) +d+=+50%2A4+
(2) +d+=+200+ mi
and
(1) +d+-+100+=+25t+
(1) +d+-+100+=+25%2A4+
(1) +d+=+100+%2B+100+
(1) +d+=+200+ mi
OK