Answer
37 minutes and 20 seconds
Work Step by Step
Candy will do $\frac{1}{70}$ of work in one minute
Tim will do $\frac{1}{80}$ of work in one minute
Fraction of work they will do together in one minute is $\frac{1}{x}$
x is the amount of time it takes them to finish the work together
$\frac{1}{70}$+$\frac{1}{80}$=$\frac{1}{x}$
multipy by 560x
8x+7x=560
15x=560
x=$\frac{560}{15}$
=37.333...
=37 minutes and 20 seconds