The officejet printer can copy sues dissertation in 16 minutes. The laser printer can copy the same document in 22 minutes. If the two machines work together, how long would they take to copy the dissertation?
T = t1*t2 / (t1+t2),
T = 22*16 / (22+16) = 9.26 min.
To find out how long it would take for the two printers to copy the dissertation together, we can calculate their combined work rate.
First, let's find the work rate of each printer. We can do this by calculating the inverse of the time it takes for each printer to copy the document.
Work rate of OfficeJet printer = 1 document / 16 minutes = 1/16 documents per minute
Work rate of Laser printer = 1 document / 22 minutes = 1/22 documents per minute
To find their combined work rate, we can add their work rates together:
Combined work rate = (1/16 + 1/22) documents per minute
To simplify the addition, we need to find a common denominator for 16 and 22, which is 352 (16 * 22).
So, the combined work rate becomes:
Combined work rate = (22/352 + 16/352) documents per minute
= 38/352 documents per minute
= 19/176 documents per minute
Now, we can find the time it takes for the two printers to copy the dissertation together by taking the inverse of their combined work rate:
Time = 1 / (19/176) minutes
= 176/19 minutes
≈ 9.26 minutes (rounded to two decimal places)
Therefore, it would take approximately 9.26 minutes for the two printers to copy Sue's dissertation together.