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 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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