SOLUTION: Ellen and Kate raced on their bikes to the library after school. They both left school at 3pm and biked along the same road.Ellen rode at the speed of 12mph and Kate rode at 9 mile

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Question 509043: Ellen and Kate raced on their bikes to the library after school. They both left school at 3pm and biked along the same road.Ellen rode at the speed of 12mph and Kate rode at 9 miles per hour.Ellen got to the library 15 before Kate. At what time did Ellen get to the Library?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Ellen and Kate raced on their bikes to the library after school. They both left school at 3pm and biked along the same road.Ellen rode at the speed of 12mph and Kate rode at 9 miles per hour.Ellen got to the library 15 before Kate. At what time did Ellen get to the Library?
**
let x=travel time of Ellen (hrs)
15 min=.25 hr
(x+.25)=travel time of Kate (hrs)
Distance=speed*ravel time (same for both riders)
12x=9(x+.25)
12x=9x+2.25
3x=2.25
x=2.25/3=.75 hr or 45 min
ans:
Ellen got to the Library at 3:45 pm