No good. The whole job is a two-day spread. Why would part of the job also be a two-day spread?Then what the first one did in 5 days, he could do two days faster, or in 3 days.
n = Number of days for the faster worker to complete the job.
m = Number of days for the slower worker to complete the job.
The fast worker can complete 1/n of the task in 1 day. In 2 days, 2/n of the task is done... In n days, n/n of the task, or the whole task, is accomplished.
Now ponder this:
What does it mean?
We also know that m = n+2
Note: If you are REALLY careful, you should get two solutions. One is no good.
Let's see what you get.