Candy takes 57 minutes to deliver all the paper whereas tim takes 114 minutes. how long does it take them where they work together

-- Candy takes 57 minutes to do the whole job  ==> 
She does 1/57 of the job every minute.

-- Tim takes 114 minute to do the whole job  ==> 
He does 1/114 of the job every minute.

-- If they work together, they do  (1/57  +  1/114)  of the job every minute.
We have to add those fractions.

The least common denominator is 114.

                 (1/57  +  1/114)

             =  (2/114 + 1/114)

             =        3/114       =  1/38 .

Working together, Candy and Tim do  1/38  of the job every minute.

So it takes them  38 minutes  to do the whole job together.