Answer: Approximately 4 hours and 27 minutes.
Explanation: Let Officer Kay's hours be represented by 1/8
and Officer Ming's hours be represented by 1/10.
That means that Officer Kay completes 1/8 of the job in 1 hour and Officer Ming completes 1/10 of the job in 1 hour.
If they work together,
It would be 1/8 + 1/10 =
Finding the LCM of the denominator, which is 80,
Addition of 1/8 and 1/10 is 9/40.
Let T be the amount of time it takes the two of them to finish the job,
then 9/40 of the job x T (expressed in hours) has to equal 1 job.
So, (9/40) x T = 1,
therefore T = 40/9 = 4.444 or 4 and 4/9.
Converting 4.444 to hours and minutes, we have 4 hours 27 minutes.
This means it would take 4 and 4/9 hours (about 4 hours and 27 minutes) for Officers Kay and Ming to complete the task together.
