Question 1087826

Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes to paint the entire house. Working together, they can complete the job in 6 hours.

QUESTION: How would you represent the amount of work that Mark can finish in 1 hour? How about the amount of work that Jessie can finish in 1 hour?
<pre>If Mark can complete the work in M hours, then in 1 hour, he and Jessie can complete the work in: {{{highlight_green(matrix(1,5, 1/M, and, 1/(M + 5), ",", respectively))}}}
If Jessie can complete the work in J hours, then in 1 hour, he and Mark can complete the work in: {{{highlight_green(matrix(1,5, 1/J, and, 1/(J - 5), ",",  respectively))}}}
So, for Mark, it can either be: {{{highlight_green(matrix(1,3, 1/M, or, 1/(J - 5)))}}}
For Jessie, it can either be: {{{highlight_green(matrix(1,3, 1/J, or, 1/(M + 5)))}}}