SOLUTION: A friend leaves Orange City for Sioux Falls 7 minutes before you leave. Your friend travels at 60 mph while you travel 66 mph to catch up. How long (in hours) will it take for you

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Question 733736: A friend leaves Orange City for Sioux Falls 7 minutes before you leave. Your friend travels at 60 mph while you travel 66 mph to catch up. How long (in hours) will it take for you to catch up with your friend?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Convert +7+ min to hrs:
+7%2F60+ hrs
Friend's head start is:
+d%5B1%5D+=+60%2A%287%2F60%29+
+d%5B1%5D+=+7+ mi
Let +t+ = time in hrs for you to catch your friend
Let +d+ = distance in miles you have to go to catch friend
Friend's equation:
(1) +d+-+7+=+60t+
Your equation:
(2) +d+=+66t+
--------------
Substitute (2) into (1)
(1) +66t+-+7+=+60t+
(1) +6t+=+7+
(1) +t+=+7%2F6+ hrs
+7%2F6+=+1+%2B+1%2F6+
+%281%2F6%29%2A60+=+10+
It will take 1 hour and 10 min to catch friend
check:
(2) +d+=+66%2A%287%2F6%29+
(2) +d+=+77+ mi
and
(1) +d+-+7+=+60%2A%287%2F6%29+
(1) +d+=+7%2B+70+
(1) +d+=+77+
OK