SOLUTION: ellen and Kate raced on their bikes to the library after school. they both left school at 3:00 pm and bicycled along the same path. Ellen rode at a speed of 12 mph while Kate rode
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Question 326852: ellen and Kate raced on their bikes to the library after school. they both left school at 3:00 pm and bicycled along the same path. Ellen rode at a speed of 12 mph while Kate rode at a speed of 9 mph. Ellen got to tv library 15 minutes before kate.
a) how long did it take Ellen to get to the library?
b) at what time did Ellen get to the library? Answer by galactus(183) (Show Source):
You can put this solution on YOUR website! Ellen was faster, so she traveled the distance in a time of t-1/4 hours.
1/4 hours is 15 minutes.
So, Ellen's distance is the same as Kate's. Ellen traveled 12(t-1/4) miles.
Kate traveled the same distance but at a slower rate, 9t miles.
Since the distances are the same, we have .
This means Ellen arrived 15 minutes earlier than Kate or in 45 minutes.
So, Ellen got to the library at 3:45 and Kate at 4:00. Kate arrived in 1 hour or at 4:00.
