document.write( "Question 267479: 20 men can cut 30 trees in 4 hours. If 4 men leave the job, how
\n" ); document.write( "many trees will be cut in 6 hours? \n" ); document.write( "

Algebra.Com's Answer #196293 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "20 men work at the rate of 30/4 trees per hour
\n" ); document.write( "So one man works at the rate of 30/(4*20)=3/8 tree per hour\r
\n" ); document.write( "\n" ); document.write( "And 20-4=16 men works at the rate of (3/8)*16=6 trees per hour\r
\n" ); document.write( "\n" ); document.write( "And in 6 hours, 16 men can cut 6*6=36 trees\r
\n" ); document.write( "\n" ); document.write( "Another way to look at this problem:\r
\n" ); document.write( "\n" ); document.write( "Let x=number of trees that can be cut by 16 men working 6 hours
\n" ); document.write( "It takes 20*4=80 man-hours to cut 30 trees
\n" ); document.write( "16 men working 6 hours provides 96 man hours\r
\n" ); document.write( "\n" ); document.write( "So we can set up a ratio:
\n" ); document.write( "80 man-hours is to 30 trees as 96 man-hours is to x trees, or:
\n" ); document.write( "80/30=96/x cross multiply
\n" ); document.write( "80x=30*96=2880
\n" ); document.write( "x=36\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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