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Mathematics 7 Online
OpenStudy (anonymous):

i need it urgent

OpenStudy (anonymous):

THE D?

OpenStudy (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 ?

OpenStudy (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 ***

OpenStudy (anonymous):

Good one- Hartnn!

OpenStudy (candy13106):

so did u ever get the answer

OpenStudy (anonymous):

@terenzreignz

terenzreignz (terenzreignz):

hartnn explained it rather thoroughly... DID you get the part that he said? :)

OpenStudy (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?

OpenStudy (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 ^_^

OpenStudy (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.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

i got x = 50 and y = 50

terenzreignz (terenzreignz):

Great ^_^

OpenStudy (anonymous):

@hartnn and @terenzreignz thank u so much

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