SOLUTION: Ellen and Kate are traveling from the school to the library. The both left at 3:00 and followed the same path. Ellen is traveling at 12mph Kate is traveling at 9mph Ellen arriv

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Question 163701: Ellen and Kate are traveling from the school to the library.
The both left at 3:00 and followed the same path.
Ellen is traveling at 12mph
Kate is traveling at 9mph
Ellen arrives 15 minutes before Kate
What time does Kate arrive?
I tried but couldn't get too far.
Rate (r) Time (t) Distance (d)
Kate 9 MPH t 9t
Ellen 12 MPH t-15 Min 12t-15

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
they travel the same distance, so the two quantities are equal
__ the rates are in hours, so all other times must match __ t and t-.25
__ 12(t-.25)=12t-3

9t=12t-3 __ 3=3t __ 1=t

Kate arrives @ 4:00