Answered

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If 12 assemblers can complete a certain job in 4 hours, how long will the same job take if the number of assemblers is cut back to 8?

Sagot :

We will use the nifty formula shown below to solve this rate-job problem.

[tex]\text{RWT}=J[/tex]

Where

R is the rate

W is the number of workers

T is the time

J is the number of jobs

Here, it is given "12 assemblers can complete a certain job in 4 hours". Thus,

W = 12

J = 1

T = 4

Let's figure out the rate:

[tex]\begin{gathered} \text{RWT}=J \\ R(12)(4)=1 \\ R(48)=1 \\ R=\frac{1}{48} \end{gathered}[/tex]

Now, we will again use the formula to see how long it will take "8 workers" to do the same job.

So,

W = 8

J = 1

T = ??

So,

[tex]\begin{gathered} \text{RWT}=J \\ (\frac{1}{48})(8)T=1 \\ \frac{8}{48}T=1 \\ T=\frac{1}{\frac{8}{48}} \\ T=\frac{48}{8} \\ T=6 \end{gathered}[/tex]Answer

6 hours

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