document.write( "Question 555108: 5 Workers can build a road in 20 days. suppose every worker works at the same rate. if three workers work on road for 10 days before 11 more workers join them how long total will it take to build a road? \n" ); document.write( "

Algebra.Com's Answer #361704 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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5 Workers can build a road in 20 days.
\n" ); document.write( "find the no of man-days required to build the road:
\n" ); document.write( "5 * 20 = 100 man-days to complete the road
\n" ); document.write( ":
\n" ); document.write( "suppose every worker works at the same rate. if three workers work on road for 10 days before 11 more workers join them how long total will it take to build a road?
\n" ); document.write( ":
\n" ); document.write( "Let d = time to build the road
\n" ); document.write( "3d + 11(d-10) = 100
\n" ); document.write( "3d + 11d - 110 = 100
\n" ); document.write( "14d = 100 + 110
\n" ); document.write( "14d = 210
\n" ); document.write( "d = $\"210%2F14\"$
\n" ); document.write( "d = 15 days to build the road
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this out (11 men worked 10 days less)
\n" ); document.write( "3(15) + 11(5) =
\n" ); document.write( "45 + 55 = 100; confirms our solution of 15 days \n" ); document.write( "

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