Question

Tom and Jerry are working together to weed the garden. Working together it takes them 2 hours and 24 minutes. If it takes Tom two hours longer to finish the job alone than it takes Jerry to finish the job alone, how long would it take each of them to weed the garden if they worked alone?

1/J + 1/120 min = 144 min

Answer 1

they each do a fraction of the job
the fractions add to one
the whole job

(2.2 / T) + (2.2 / J) = 1

substituting
[2.2 / (J + 2)] + (2.2 / J) = 1

solve for J, add 2 to find T