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The larger of two printers requires 30 minutes to print the payroll. After both printers have been operating for 10 minutes, the larger printer malfunctions. The smaller printer requires an additional 80 minutes to complete the payroll. How long would it take the smaller printer, working alone, to print the entire payroll?

Answer :

Final answer:

The smaller printer would take 40 minutes to print the payroll on its own.


Explanation:

Let's assume that the smaller printer takes x minutes to complete the payroll on its own.

Given that the larger printer takes 30 minutes to print the payroll, and after 10 minutes both printers have been operating, we can say that, in those 10 minutes, the smaller printer completes 10/x of the total payroll.

Since the smaller printer takes 80 more minutes to complete the payroll after the larger printer malfunctions, we can set up the equation: (10/x) + (80/x) = 1.

Solving this equation, we find that x = 40 minutes. Therefore, it would take the smaller printer, working alone, 40 minutes to print the payroll.


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