SOLUTION: Tony is 1/4 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up wi

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Question 662411: Tony is 1/4 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Tony's headstart is +.25+ mi
Start a stopwatch when Laura starts running
Let +t+ = time until they meet
Let +d+ = distance Laura has to run
----------------
Laura's equation:
(1) +d+=+7t+
Tony's equation:
(2) +d+-+.25+=+5t+
------------------------
Substitute (1) into (2)
(2) +7t+-+.25+=+5t+
(2) +2t+=+.25+
(2) +t+=+.125+ hrs
+.125%2A60+=+7.5+
It will take Laura 7.5 min to catch Tony