Question

Mei can wax a floor in seven minutes. Emily can wax the same floor in six minutes. How long would it take them if they worked together? *Round your answer to the nearest hundredth.

Answer 1

x = 3 minutes and 23 seconds

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,

`(1)/(7)+(1)/(6)=(1)/(x)\\\\(1)/(x)=(7+6)/(42)\\\\(1)/(x)=(13)/(42)\\\\x=(42)/(13)\\\\x=3.23\ \text{minutes}\\\\\text{or}\\\\x=3\ \text{minutes}\ 23\ \text{seconds}`

If they work together, 3 minutes and 23 seconds will be taken.