document.write( "Question 1078849: A contractor agrees to lay a road 3000 m long in 30 days. 50 men are employed and they work for 8 hours per day. After 20 working days, he finds that only 1200 m of the road is completed. How many more men does he need to employ in order to finish the project on time if each man now works 10 hours a day? \n" ); document.write( "
Algebra.Com's Answer #693257 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A contractor agrees to lay a road 3000 m long in 30 days. \n" ); document.write( " 50 men are employed and they work for 8 hours per day. \n" ); document.write( " After 20 working days, he finds that only 1200 m of the road is completed. \n" ); document.write( " How many more men does he need to employ in order to finish the project on time if each man now works 10 hours a day? \n" ); document.write( ": \n" ); document.write( "Find how many man-hrs needed to complete 1200 meters \n" ); document.write( "50 * 8 * 20 = 8000 man-hrs \n" ); document.write( "Find how many man-hrs per meter \n" ); document.write( "8000/1200 = 6.67 man-hr per meter \n" ); document.write( "then find how many for the remaining 1800 meters \n" ); document.write( "6.67 * 1800 = 12000 man-hr required to complete the job \n" ); document.write( ": \n" ); document.write( "let m = the additional men required working 10 hrs a day for the 10 days left on the contract \n" ); document.write( "(50+m) * 10 * 10 = 12000 \n" ); document.write( "100(50+m) = 12000 \n" ); document.write( "50 + m = 12000/100 \n" ); document.write( "50 + m = 120 \n" ); document.write( "m = 120 - 50 \n" ); document.write( "m = 70 additional men required \n" ); document.write( " \n" ); document.write( " |