SOLUTION: 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

Algebra ->  Proportions  -> Lessons -> SOLUTION: 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       Log On


   



Question 1133422: 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 60 story building?


Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
----
----
The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers.
----
----

n, construction workers
x, time
h, height
k, proportionality constant

x=kh%2Fn


---------
If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 40 workers to build a 60 story building?
---------

system%28n=10%2Cx=2.5%2Ch=20%29
Use these to find value for k, and then ,.... continue and finish.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) 40 workers instead of 10: divide the amount of time by 4

(2) 60 stories instead of 20: multiply the amount of time by 3

ANSWER: 2.5 years, times 3, divided by 4

You can do the calculation