Question 981556
Their rates
Tom,  1/(x+1)
Jane, 1/x
using x as the time for Jane to do the one job of "clean the house".


Both together, 4 hours for the job.
{{{1/(x+1)+1/x=1/4}}}


LCD is {{{x(x+1)}}}.
Multiply both sides by {{{x(x+1)}}}, simplify and find x.