Answer:
x = 3 minutes and 23 seconds
Step-by-step explanation:
It is given that,
Mei can wax a floor in seven minutes and Emily can wax the same floor in six minutes.
Mei's work for 1 minute = 1/7
Emily's work for 1 minute = 1/6
Let x is total time together.
So,
[tex]\dfrac{1}{7}+\dfrac{1}{6}=\dfrac{1}{x}\\\\\dfrac{1}{x}=\dfrac{7+6}{42}\\\\\dfrac{1}{x}=\dfrac{13}{42}\\\\x=\dfrac{42}{13}\\\\x=3.23\ \text{minutes}\\\\\text{or}\\\\x=3\ \text{minutes}\ 23\ \text{seconds}[/tex]
If they work together, 3 minutes and 23 seconds will be taken.