Answer:
It would take them 7.4682 minutes to wax the floor together.
Step-by-step explanation:
First, we need to find out the minute rate for each of them.
If Lea can wax a floor in 14 minutes, then he waxes 1/14 of the floor per minute.
If Mark can wax the same floor in 16 minutes, then he waxes 1/16 of the floor per minute.
Working together, they would wax 1/14 + 1/16 of the floor per minute.
1/14 + 1/16 = .0714 + .0625 = .1339 of the floor per minute
Now we can use a rule of three
1 minute -------.1339
x minutes ------1
Then,
x = 1 / 0.1339 = 7.4682
Therefore, it would take them 7.4682 minutes to wax the floor together.