SOLUTION: Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:oo p.m. and bicycled along the same path. Ellen rode at a speed of 12 miles per hour

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Question 532390: Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:oo p.m. and bicycled along the same path. Ellen rode at a speed of 12 miles per hour and kate rode at 9 miles per hour. Ellen got to the library 15 minutes before kate. How long did it take Ellen to get to the library? At what time did Ellen get to the library?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ellen and Kate raced on their bicycles to the library after school.
They both left school at 3:oo p.m. and bicycled along the same path.
Ellen rode at a speed of 12 miles per hour and kate rode at 9 miles per hour.
Ellen DATA:
rate = 12 mph ; time = x hrs ; distance = 12x miles
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Kate DATA:
rate = 9 mph ; time = x + 1/4 hrs ; distance = 9(x+(1/4)) miles
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Ellen got to the library 15 minutes before kate. How long did it take Ellen to get to the library? At what time did Ellen get to the library?
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Equation:
distance = distance:
12x = 9x + 9/4
3x = 9/4
x = 3/4 hr (Ellen's time)
She arrived at the library at 4:00
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x + (1/4) = 1 hr (Kate's time)
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Cheers,
Stan H.
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