SOLUTION: an older computer requires 15 min longer to print the payroll than does a newer computer. together the computers can print the payroll in 10 min. find the time for the new computer

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Question 886484: an older computer requires 15 min longer to print the payroll than does a newer computer. together the computers can print the payroll in 10 min. find the time for the new computer working alone to print the payroll.
I got 15 min. Is this right???

Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
an older computer requires 15 min longer to print the payroll than does a newer computer. together the computers can print the payroll in 10 min. find the time for the new computer working alone to print the payroll.
***
x=time it takes new computer working alone to print the payroll.
let 1/x=work rate of new computer
1/(x+15)=work rate of older computer
1/10=work rate working together
..
sum of indv work rates = work rate working together
1%2Fx%2B1%2F%28x%2B15%29=1%2F10
lcd: x(x+15)
x+15+x=(x^2+15x)/10
10x+150+10x=x^2+15x
x^2-5x-150=0
solve for x by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-5, c=-150
ans:
x=-3.63 (reject, x>0
or
x=4.13
time it takes new computer working alone to print the payroll=4.13 min


Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

an older computer requires 15 min longer to print the payroll than does a newer computer. together the computers can print the payroll in 10 min. find the time for the new computer working alone to print the payroll.
I got 15 min. Is this right???

Yes, you are correct. It does take highlight_green%28highlight_green%2815%29%29 mins.
You can do the check!!
If you need a complete and detailed solution, let me know!!
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