SOLUTION: Julia can run 80 feet in 16 seconds. Hannah can run the same distance in 20 seconds. If Hannah is 10 feet ahead of Julia when they both start running, how long does it take for Jul

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Question 1114484: Julia can run 80 feet in 16 seconds. Hannah can run the same distance in 20 seconds. If Hannah is 10 feet ahead of Julia when they both start running, how long does it take for Julia to catch Hannah?
How many feet does Julia have to run to catch Hannah?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Start a stop watch when Julia leaves
Let +t+ = the time in seconds on the
stop watch when Julia catches Hannah
Let +d+ = the distance in feet that
Julia travels until she catches Hannah
-------------------------------------
Julia's equation:
(1) +d+=+%28+80%2F16%29%2At+
(1) +d+=+5t+
Hannah's equation:
(2) +d+-+10+=+%28+80%2F20+%29%2At+
(2) +d+-+10+=+4t+
------------------------------------
Plug (1) into (2)
(2) +5t+-+10+=+4t+
(2) +t+=+10+
-------------------------
It takes Julia 10 sec to catch Hannah
------------------------------------
(1) +d+=+5t+
(1) +d+=+5%2A10+
(1) +d+=+50+ ft
She runs 50 ft to catch Hannah
----------------------------------
check answer:
(2) +d+-+10+=+4t+
(2) +d+-+10+=+4%2A10+
(2) +d+=+10+%2B+40+
(2) +d+=+50+ ft
OK