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

t=6

( 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: