SOLUTION: Hi. I don't understand how I'm supposed to solve this problem. Could you please clearly explain how to set it up and solve it ...thank you. The time is takes to build a skyscrap

Question 708576: Hi. I don't understand how I'm supposed to solve this problem. Could you please clearly explain how to set it up and solve it ...thank you.
The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 40 workers to build a 120 story building?
_______ years
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The basic description is like this, using t for time, h for height, w for workers, and k is a proportionality constant. The description is .

10 workers 2.5 years to build a 20 story building : lets you determine k.
, so substituting, , k=1.25.

You now know, .

how long will it take 40 workers to build a 120 story building?
Just plug in the values.
=1.25*3=4
t=4 years.
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