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Worker A works at a constant rate and, working alone, can complete a job in 6 hours. Worker B works at a constant rate and, working alone, can complete the same job in 5 hours. Worker C works at a constant rate and, working alone, can complete the same job in 3 hours.

Respuesta :

Answer:

[tex]R= \frac{1job}{1.429 hours}[/tex]

So then we will have that the 3 working together will complete 1 job in approximately 1.429 hours for this case.

Explanation:

If we want to express the situation in math terms and find the number of hours that takes to complete 1 job with the 3 at the same time, we can do this.

For this case we have the following rates:

[tex]R_A =\frac{1job}{6hours}[/tex]

[tex]R_B =\frac{1 job}{5 hours}[/tex]

[tex]R_C=\frac{1job}{3 hours}[/tex]

And we know that working together the rate would be the addition of the rates like this:

[tex]R=R_A +R_B +R_C = \frac{1job}{6hours}+\frac{1job}{5hours}+\frac{1job}{3hours} =\frac{7 jobs}{10hours}[/tex]

And if we divide the numerator and denominator by 7 we got:

[tex]R= \frac{1job}{1.429 hours}[/tex]

So then we will have that the 3 working together will complete 1 job in approximately 1.429 hours for this case.

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