SOLUTION: Claudia can run 60 yards in 15 seconds. Valerie can run the same distance in 20 seconds. If Valerie is 20 yards ahead of Claudia when they both start running, how long does it take

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Question 1114481: Claudia can run 60 yards in 15 seconds. Valerie can run the same distance in 20 seconds. If Valerie is 20 yards ahead of Claudia when they both start running, how long does it take for Claudia to catch Valerie?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Claudia's rate is 60%2F15 = 4 yards per second.


Valeria's rate is 60%2F20 = 3 yards per second.


If t is the time after their start, then the Claudia's position is 4t yards from the start, 
     while Valeria's position is  (3t + 20) yards from the same point.


At the catching up moment the distances are the same:


4t = 3t + 20,   or


4t - 3t = 20  ====>  t = 20 seconds.


Answer.  Claudia will catch up Valeria in 20 seconds.

Solved.

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