Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.