Answer:
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would be an inappropriate piece of research writing because it mostly expresses an opinion rather than fact. They may think that basketball is "the dullest, most boring sport of all," while you may think that it's the best sport
The question is incomplete and the complete form of the question is as expressed below.
A worker can clean a pool in four hours less time than it takes another worker. If men work together, the job takes 8/3 hours. How long would it take the slower man working alone?
<h3>What is the hour(s) that will take the slower man?</h3>
Taking x to be the hour(s) for the slower man and (x-4) be the number of hours for the faster man working separately. Thus,
1/x+1/(x-4)=1/8/3
1/x+1/(x-4)=3/8
[(x-4)+x]=(x)(x-4)(3/8)
2x-4=(x^2–4x)(3/8)
16x-32=3x^2–12x
3x^2–28x+32=0
<h3>Factorisation</h3>
Factorise to solve the value of x:
There are 2 values of x for the factors: (3x-4)(x-8) =0
- 3x - 4 =0; 3x= 4; x = 4/3 or 1 1/3 hours (invalid due to the fact that it fits not for the slower man who will work alone for 4 hours slower than the faster man as it is only 4/3 hours which is lesser than 4 hours.
- x - 8 = 0; x = 8 hours (answer to be adopted because it is fit for the slower man to do the job separately for 4 hours lesser than the faster man.
Verify:
1/8 + 1/(8–4) = 1/8/3 =3/8
1/8 + 1/4 = 3/8
(1+2)/8 = 3/8
3/8 = 3/8
Therefore, the correct answer is x = 8 hours for the slower man to work alone.
learn more about factorisation: brainly.com/question/25829061
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