document.write( "Question 355008: it takes 7 people 8.5 hours to complete a job how long would it take 4 people? \n" ); document.write( "
Algebra.Com's Answer #253631 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of time it takes 4 people to complete the job. Then 4 people work at the rate of 1/x of the job per hour. \n" ); document.write( "If it it takes 7 people 8.5 hrs to complete the job, then the job requires 7*(8.5) or 59.5 people-hours to complete. In other words, one person can complete the job in 59.5 hours. So one person works at the rate of 1/59.5 of the job per hour; 4 people work at the rate of 4/59.5 of the job per hour. Soooo our equation to solve is: \n" ); document.write( "1/x=4/59.5 \n" ); document.write( "1/x=4/59.5 \n" ); document.write( "4x=59.5 hrs \n" ); document.write( "x=14.875 hrs \n" ); document.write( "CK \n" ); document.write( "1 person needs 59.5 hrs to complete the job \n" ); document.write( "2 people need (59.5)/2 =29.75 hrs to complete the job \n" ); document.write( "4 people need(59.5)/4=14.875 hrs to complete the job \n" ); document.write( "7 people need (59.5)/7=8.5 hrs to complete the job \n" ); document.write( "Hope this helps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |