SOLUTION: Ellen and Kate leave school at 3:00 p.m. They race to the library on their bikes. Kate is going 9 mph and Ellen is going 12 mph. Ellen got to the library 15 minutes before Kate. Wh

Question 1094619: Ellen and Kate leave school at 3:00 p.m. They race to the library on their bikes. Kate is going 9 mph and Ellen is going 12 mph. Ellen got to the library 15 minutes before Kate. What time did Kate get to the library?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles from
school to library
Let = time in hrs that Kate took
to get top the library
-----------------------------------
Kate's equation:
(1)
Ellen's equation:
(2)
------------------------
Set (1) = (2)

and

-------------------------
Kate got to the library at 3 PM plus 1 hr = 4 PM
-------------------------
check:
(1)
(1)
and
(2)
(2)
(2)
OK
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