document.write( "Question 624158: Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks? \n" ); document.write( "

Algebra.Com's Answer #392556 by lwsshak3(11628) $\"\"$ $\"About$

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Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks?
\n" ); document.write( "**
\n" ); document.write( "let x=workers needed
\n" ); document.write( "(x/150)(15/12)(14)=21
\n" ); document.write( "15*14x/150*12*21
\n" ); document.write( "210x=37800
\n" ); document.write( "x=180
\n" ); document.write( "number of workers needed=180 \n" ); document.write( "

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