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Question 442878: Good morning,
Could you please offer me the solution to set up the following:
If it takes 7 workers 15 days to get a warehouse ready, then it would take 3 workers, working at the same pace, how many days to get the warehouse ready for the shipment?
Thank you for your time.
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! This is an example of inverse variation, where if one figure (the number of workers) increases, the other figure (time) decreases, and therefore, multiplied together, they both equal the same number, no matter what the different figures are. For example, if it takes three people one hour to do a job, you know it must take one person three hours to do the same job (because they are doing 1/3 of the amount of work per hour, since there is only 1/3 the number of people working at the same pace), so they must take 3 times the number of hours), and it would take 2 people 1.5 hours. As described, all three (3*1, 1*3, 2*1.5) multiply to equal three, so the inverse variation "constant" is 3. In your case, set up an equation. On both sides, put the number of workers times the number of days:  , where x is the number of days when there are three workers. Simplify and solve for x:
Therefore, it would take 3 workers 35 days to get the warehouse ready for the shipment.
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