SOLUTION: Pat and Jen volunteer at the library. Pat can shelve a full cart of books 14 minutes faster than Jen. If they work together, they can shelve a full cart in 24 minutes. How long doe
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Question 945299: Pat and Jen volunteer at the library. Pat can shelve a full cart of books 14 minutes faster than Jen. If they work together, they can shelve a full cart in 24 minutes. How long does it take Jen to shelve a full cart by herself?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jen's time in minutes to shelve a cart
= Pat's time in minutes to shelve a cart
-------------------
Jen's rate:
( 1 cart ) / ( t min )
Pat's rate:
( 1 cart ) / ( t - 14 min )
Working together:
( 1 cart ) / ( 24 min )
----------------------
Add their rates to get rate working together
Multiply both sides by
-------------------
Use quadratic formula
( this answer makes no sense, because it is faster than
their time working together- 24 min )
Working alone, Jen's time is 56 sec
--------------------------------
check:
OK
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