Question 468953
1/5 = part of the job done by carrie working alone in 1 hour

The 40 minute break taken by carrie has no relevance in the completion of the task, since NONE of them are working at that time.  

let x = length of time it takes carrie and james to finish the job working together.

==> {{{1/5 + x(1/5 + 1/3) = 1}}}

==> {{{x(1/5 + 1/3) = 4/5}}}

==> {{{(8x)/15 = 4/5}}}

==> x = 1.5 hours.