SOLUTION: Janet set off on a bicycle trip at 6:00 am at an average rate of 22 miles per hour. Her husband, Bob, promised to bring her some lunch, and he set off by car 2 hours after Janet l

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Question 1099950: Janet set off on a bicycle trip at 6:00 am at an average rate of 22 miles per hour. Her husband, Bob, promised to bring her some lunch, and he set off by car 2 hours after Janet left, driving at an average speed of 50 miles per hour. At what time did Bob catch up with Janet?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Find Janet's head start in miles

mi
---------------------
Start a stopwatch when Bob leaves at 8:00
Let = time in hrs on the stopwatch
when Bob catches up with Janet
----------------------------------------
Let = distance in miles that Bob travels
until he catches up with Janet
-----------------------------------------
Janet's equation:
(1)
(1)
Bob's equation:
(2)
------------------------
Plug (2) into (1)
(1)
(1)
(1)
and


---------------------------

Bob catches up at 9:34:17
---------------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
Close enough
--------------------------
Get a 2nd opinion if needed

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