document.write( "Question 824561: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time. \n" ); document.write( "
Algebra.Com's Answer #496586 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "work rate experienced during the first 24 days:
\n" ); document.write( "r = jobs/(workers*time)
\n" ); document.write( "r = (3/4)/(24*24)
\n" ); document.write( "r = 0.001302083333333 job/(worker*day)
\n" ); document.write( "---
\n" ); document.write( "assume the same work rate to complete the remaining 1/4 of the job in the remaining 6 days:
\n" ); document.write( "r = (1/4)/(workers*6)
\n" ); document.write( "workers = (1/4)/(6*r)
\n" ); document.write( "workers = (1/4)/(6*0.001302083333333)
\n" ); document.write( "workers = 32
\n" ); document.write( "additional workers = 32 - 24 = 8
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\n" ); document.write( "answer:
\n" ); document.write( "to complete the job in the remaining 6 days, the contractor must hire 8 additional workers, for a total of 32 workers.
\n" ); document.write( "---
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