Mathematics: When two computers are working together, they can finish updating software in 9 minutes. how long would they take individually to update the software if one computer takes 24 minutes longer than the other?

2 3/8 / 1 1/4= 19/8 / 5/4=19/8 * 4/5= 19/10answer is B 19/10...

When two computers are working together, they can

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smartypants02

13.03.2022

First computer takes x min. For 1 min it does 1/x part of work.

Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.

Both computers for one min do (1/x+1/(x+24)) part of work.

At the same time, both computers for one min do 1/9 part of work.

$\frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} 
\\ \\ \frac{x+24+x}{x(x+24)} = \frac{1}{9} 
\\ \\9(2x+24)=x^{2} +24x
\\ \\ 18x+216=x^{2} +24x
\\ \\ x^{2}+6x-216=0
\\ \\ D=b^{2}-4ac=36+4*216 = 900
\\ \\ x= \frac{-b+/- \sqrt{D} }{2a} = \frac{-6+/-30}{2} 
\\ \\ x_{1}=-18, x_{2}=12

We can use only positive number here. So, 

for the first computer x=12 min,

 for second computer x+24=12+24= 36 min

Answer 12 min and 36 min.$

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When two computers are working together, they can finish updating software in 9 minutes. how long would they take individually to update the software if one computer takes 24 minutes longer than the other?

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