Frank can type a report in 4 hours and James takes 6 hours. How long will it take the two of them typing together?
Add the two hours together.
Brooke's answer makes no sense
Frank's rate = 1/4
James rate = 1/6
combined rate = 1/4 + 1/6 = 5/12
time at combined rate = 1/(5/12)
= 12/5
= 2.4 hours
290*484-59385\6853]3763]= 1480264095740
To find out how long it will take Frank and James to type the report together, we can use the concept of work. The work done by Frank in 1 hour is 1/4 of the report (since he completes the report in 4 hours), and the work done by James in 1 hour is 1/6 of the report (since he completes the report in 6 hours).
To determine how long it will take them both to complete the report together, we need to add their work rates. The work done by both Frank and James working together in 1 hour can be found by adding their individual work rates:
Frank's work rate + James' work rate = (1/4) + (1/6) = 3/12 + 2/12 = 5/12
Now, we can determine the time it will take them to complete the report together by dividing the total work of the report (which is represented by 1) by their combined work rate:
Time = 1 / (5/12) = 12/5
Therefore, it will take Frank and James approximately 12/5 hours to complete the report together, which simplifies to 2.4 hours or 2 hours and 24 minutes.