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Mumz [18]
3 years ago
15

Three workers have to do a certain job. The first worker can finish the job in 8 hours. The second worker can finish the job in

4 hours. The third worker can also finish the job in 4 hours. How long will it take the three workers to finish the job if they work together?
PLS help
Mathematics
1 answer:
mestny [16]3 years ago
8 0

Working together three workers would take 1 hour 36 minutes to finish the job

<em><u>Solution:</u></em>

Given that first worker can finish the job in 8 hours

So in one hour, first worker can do \frac{1}{8} th of the work

The second worker can finish the job in 4 hours

So in one hour, second worker can do \frac{1}{4} th of the work

The third worker can also finish the job in 4 hours

So in one hour, third worker can do \frac{1}{4} th of the work

<em><u>The three workers working together in 1 hour can do:</u></em>

\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}

The three worker can thus do \frac{5}{8} th of the work in one hour

Hence the three of them together can finish the work in \frac{8}{5} hours

\frac{8}{5} = 1\frac{3}{5} hours

Thus working together three workers would take 1 hour 36 minutes to finish the job

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------------------------------------------------------

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