SOLUTION: 1) Sara set off on a bicycle trip at 6:30 am at an average rate of 24miles per hour. Her friend Jayne promised to bring her some lunch and she set off by motorcycle 2 hous after S

Question 1085594: 1) Sara set off on a bicycle trip at 6:30 am at an average rate of 24miles per hour. Her friend Jayne promised to bring her some lunch and she set off by motorcycle 2 hous after Sara left, driving an average of 40 miles per hour. At what time did Jayne catch up with Sara?
2) Becky would like to have at least $100,000 saved for her daughter's college education. If she invests $25,000 in an education account paying 6/25% interest compounded quarterly, will she reach her goal in 16 years?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What was Sarah's head start in miles?

mi
---------------------
Start a stopwatch when Jane leaves and stop it
when she catches up with Sarah
( note that it is 8:30 AM when Jane leaves
Let = the time on the stopwatch in hours
Let = the distance in miles that Jane
travels until she ctches up with Sarah
-----------------------------------------------
Jane's equation:
(1)
Sarah's equation:
(2)
-------------------------
Plug (1) into (2)
(2)
(2)
(2)
--------------------
8:30 plus 3 hrs is 11:30 when
Jane catches up with Sarah
-----------------------------
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK
Note:
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will answer the part 2 of your questions
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