anonymous
  • anonymous
i need it urgent
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
THE D?
anonymous
  • anonymous
I THOUGHT THE ANSWER WAS A BUT I SAY IT'S D
hartnn
  • hartnn
let A do the job in x days and B do the job in y days can you form an expression of them working together ?

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anonymous
  • anonymous
x+y=25
hartnn
  • hartnn
nopes, A can do unit amount of work in 1/x days, B in 1/y days, so, 1.x+1/y=1/25 got this ?
hartnn
  • hartnn
1/x ***
anonymous
  • anonymous
Good one- Hartnn!
Candy13106
  • Candy13106
so did u ever get the answer
anonymous
  • anonymous
@terenzreignz
terenzreignz
  • terenzreignz
hartnn explained it rather thoroughly... DID you get the part that he said? :)
anonymous
  • anonymous
yes i got that part,
terenzreignz
  • terenzreignz
Let's use this, \[\Large 25\left(\frac1x\right)+ 25\left(\frac1y\right)= 1\]
terenzreignz
  • terenzreignz
And this represents the first statement, where, if you have them work 25 days, they finish the job. Okay?
anonymous
  • anonymous
yes, i got this part
terenzreignz
  • terenzreignz
Actually, to make it easier to write, let's have \[\Large 25x^{-1}+25y^{-1}= 1\]
terenzreignz
  • terenzreignz
What about the other one? They spent 15 days working together... \[\Large 15x^{-1}+ 15y^{-1}\color{red}{...}\]
terenzreignz
  • terenzreignz
And then... A proceeds to work alone, for 20 more hours... \[\Large 15x^{-1}+ 15y^{-1}+ \color{red}{20x^{-1}}...\]
terenzreignz
  • terenzreignz
And this also gets the work done: \[\Large 15x^{-1}+ 15y^{-1}+ 20x^{-1}=1\]
terenzreignz
  • terenzreignz
So what we have here is a system of equations: Solve for \(\large x^{-1}\) and \(\large y^{-1}\)
terenzreignz
  • terenzreignz
\[\Large \color{red}{25x^{-1}+ 25y^{-1}= 1}\]\[\Large \color{blue}{35x^{-1}+ 15y^{-1}=1}\]
terenzreignz
  • terenzreignz
So... everything okay now? @msingh This is just a system of linear equations ^_^
anonymous
  • anonymous
okay
terenzreignz
  • terenzreignz
Okay, good.
terenzreignz
  • terenzreignz
We already did... we already reduced it to that blue/red system I wrote above, it's only a matter of solving it.
anonymous
  • anonymous
okay
anonymous
  • anonymous
i got x = 50 and y = 50
terenzreignz
  • terenzreignz
Great ^_^
anonymous
  • anonymous
@hartnn and @terenzreignz thank u so much

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