SOLUTION: At 7:00 am, Brooke leaves home to go on a business trip driving 35 mph. Fifteen minutes later, Bart discovers that Brooke forgot her presentation materials. He drives 50 mph to ca

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Question 679613: At 7:00 am, Brooke leaves home to go on a business trip driving 35 mph. Fifteen minutes later, Bart discovers that Brooke forgot
her presentation materials. He drives 50 mph to catch up with her. What time will Bart catch Brooke?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+15+ min = +1%2F4+ hr
Brooke has a head start of +d%5B1%5D+=+35%2A%28+1%2F4+%29+
+d%5B1%5D+=+8.75+
Let +d+ = the distance Bart drives to catch Brooke
Let +t+ = the elapsed time from 7:15 until
Bart catches Brooke
--------------------
Brooke's equation:
(1) +d+-+8.75+=+35t+
Bart's equation:
(2) +d+=+50t+
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Substitute (2) into (1)
(1) +50t+-+8.75+=+35t+
(1) +15t+=+8.75+
(1) +t+=+8.75+%2F+15+
(1) +t+=+.58333+ hrs
(1) +t+=+.58333+%2A+60+ min
(1) +t+=+35+ min
Bart catches Brooke at 7:15 + 35 = 7:50 AM