SOLUTION: 12 workers completed work in 40 days how many works required to complete work in 16 days

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Question 765124: 12 workers completed work in 40 days how many works required to complete work in 16 days
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
12 workers completed work in 40 days
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10 times as many workers can do the work in 1/10 of that time, or
120 workers can complete work in 4 days
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1/4 that many workers will take 4 times as long to complete work, or
30 workers can complete work in 16 days
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You can also say that
( number of workers ) = k*( 1 / number of days to complete work )
( this is an inverse variation )
+12+=+k%2A%281%2F40%29+
+k+=+40%2A12+
+k+=+480+
Now let +w+ = number of workers
+w+=+k%2A%281%2F16%29+
+w+=+480%2A%281%2F16%29+
+w+=+480%2A%28+1%2F16+%29+
+w+=+30+