How Many Workers and Days to Make 30 Units in 2 Days?

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To determine how many workers are needed to produce 30 units in 2 days, the problem starts with the fact that 2 workers can make 10 units in 3 days. By calculating the output per worker, it is established that one worker can produce 5/3 units in 3 days, equating to 10/3 units in 2 days. Consequently, to achieve the goal of 30 units, the calculation shows that 9 workers are required. This conclusion is supported by the derived constant and the relationship between workers, time, and production. The method used to arrive at this solution is confirmed as correct.
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Homework Statement



It takes 2 workers 3 days to make 10 units. How many workers would it take to make 30 units in 2 days?

Homework Equations



I'm not sure of what equations to use.

The Attempt at a Solution



I've tried techniques such as laying out the equations and using substitution, but I'm really not sure how to work this particular problem.

I don't know if this is posted on another thread, if so, I would appreciate a link very much.
 
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Megasundato said:

Homework Statement



It takes 2 workers 3 days to make 10 units. How many workers would it take to make 30 units in 2 days?

Homework Equations



I'm not sure of what equations to use.

The Attempt at a Solution



I've tried techniques such as laying out the equations and using substitution, but I'm really not sure how to work this particular problem.

I don't know if this is posted on another thread, if so, I would appreciate a link very much.

Show us what you've tried, even if it's wrong.

Look at this in terms of what a single worker can do in one day.
 
ok. well pretty much I just set some equations up such as,

d*w=p
2w*3d=10p

But I realized this is not the right approach.

Just now in the writing of this post, I think I may have figured out how to do it. I made into a constant(k) type problem.

pretty much I put that the product varies directly with the amount of workers multiplied by the time in days.

p=kwd

I then just solved for constant, k, using the equation which gives me all the values of the variables. I got k = 5/3 and my answer for the problem was 9, which was a choice among 5, 6, 9, 18.

I do believe this the the correct method for this type of problem, but of course, please tell me if it is not. thanks.
 
I agree with your answer. Here is my reasoning.

One worker can make 5 units in 3 days, so each worker can make 5/3 unit per day.

So in 2 days, one worker can make 2*5/3 = 10/3 units. To make 30 units, you need 30/(10/3) = 30 * 3/10 = 9 workers.
 
that makes sense, thanks.
 

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