An office contains two printers. Printer B takes 5 minutes longer than printer A to print the company s monthly financial report. With the two printers working, it takes 3.5 minutes to complete the report. How long (in minutes)would it take each printer individually to complete the report? Round your answer to two decimal places.
A)Printer A: 4.12 minutes, Printer B: 10.12 minutes
B)Printer A: 2.65 minutes, Printer B: 8.65 minutes
C)Printer A: 5.3 minutes, Printer B: 10.3 minutes
D)Printer A: 5.3 minutes, Printer B: 5.3 minutes
E)Printer A: 6.3 minutes, Printer B: 10.12 minutes

Question

Quizplus · Accepted Answer

Let the time it takes for printer A to print the report be $A$ minutes. Therefore, printer B takes $A + 5$ minutes. The rate of work done by printer A is $1/A$ reports per minute, and for printer B, it's $1/(A + 5)$. Together, their combined rate is $1/3.5$ reports per minute. Setting up the equation: $1/A + 1/(A + 5) = 1/3.5$. Solving this equation gives $A = 5.3$ minutes for printer A and $A + 5 = 10.3$ minutes for printer B.

An Office Contains Two Printers