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Mathematics 14 Online
OpenStudy (anonymous):

Wilde Oscar worked frantically for 4 hours and called for help because he saw it would take 6 more hours to finish. Calm Sally began to help and they finished the job in 2 more hours. How long would it have taken Sally to do the job alone? Please show me how to get the answer.

OpenStudy (jonnyvonny):

Well, there are a lot of assumptions going to be made, but...assuming that he does 1 hours worth of work every hour, we may begin to approach this.

OpenStudy (jonnyvonny):

So, we assume that it takes him 1 hour to do 1 hours work of the job. Now, he knows he needs 6 more hours, because of this 1 to 1 pace.

OpenStudy (jonnyvonny):

Are you with me so far?

OpenStudy (anonymous):

yes

OpenStudy (jonnyvonny):

Okay, please tell me to stop if i get too far ahead.

OpenStudy (jonnyvonny):

So, there is 6 hours of work to be done. He calls Sally and they complete 6 hours of work in 2 hours.

OpenStudy (jonnyvonny):

So for every hour he does 1 hours work, and for Sally, for every hour, we don't know how much hours work she does.

OpenStudy (jonnyvonny):

So Sally's hours work and his hours work must equal 6 hours of work, with a given amount of time of 2 hours.

OpenStudy (jonnyvonny):

Still with me? This is the only way I "know" how to do this question.

OpenStudy (anonymous):

yes I'm with you

OpenStudy (jonnyvonny):

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OpenStudy (jonnyvonny):

So, the dude + sally = 6 2 + 2x = 6 2x = 4 x = 2

OpenStudy (jonnyvonny):

With me still?

OpenStudy (anonymous):

yes

OpenStudy (jonnyvonny):

So, in 1 hour, she does 2 hours work of the job. Now back to the question: if there was 6 hours work of a job to be done, how many hours would it personally take her?

OpenStudy (anonymous):

5?

OpenStudy (jonnyvonny):

I don't blame you, this question is slightly retarded. In 3 hours she does 6 hours of work. y=2x......6=2x......3=x. So 3 hours. At least that is what i think.

OpenStudy (anonymous):

thank you!!!!

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