SOLUTION: The larger of two printers being used to print the payroll for a major corporation requires 30 min to print the payroll. After both printers have been operating for 10 min, the lar

Question 199099This question is from textbook Intermediate Algebra An Applied Approach
: The larger of two printers being used to print the payroll for a major corporation requires 30 min to print the payroll. After both printers have been operating for 10 min, the larger printer malfunctions. The smaller printer requires 40 more minutes to complete the payroll. How long would it take the smaller printer working alone to print the payroll? This question is from textbook Intermediate Algebra An Applied Approach

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The larger of two printers being used to print the payroll for a major
corporation requires 30 min to print the payroll. After both printers have
been operating for 10 min, the larger printer malfunctions.
The smaller printer requires 40 more minutes to complete the payroll.
How long would it take the smaller printer working alone to print the payroll?
:
Let x = time (in minutes) required by the small printer working alone
Let the completed job = 1
:
Smaller printer will operate for 10 + 40 = 50 min
:
+ = 1
:
Multiply equation by 30x, results
10x + 30(50) = 30x
1500 = 30x - 10x
1500 = 20x
x =
x = 75 min, small printer alone
:
:
Check solution:
10/30 + 50/75 =
1/3 + 2/3 = 1

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