document.write( "Question 477702: Jim can build a desk in 4 hours. Matt can build the same desk in 6 hours. If Jim and Matt work together, how many hours will it take to build the desk. \n" ); document.write( "
Algebra.Com's Answer #327353 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Jim's work in an hour
\n" ); document.write( "4 hours…………………….. 1 desk
\n" ); document.write( "Divide by 4 both sides
\n" ); document.write( "4/4 hour…………………………… 1/4 desk
\n" ); document.write( "1 hour…………………….. 1/4 desk
\n" ); document.write( "So Jim can build one fourth of the desk in 1 hour\r
\n" ); document.write( "\n" ); document.write( "Matt's work in an hour
\n" ); document.write( "6 hours............ 1 desk
\n" ); document.write( "Divide by 6 both sides
\n" ); document.write( "6/6 hour............ 1/6 desk
\n" ); document.write( "1 hour.............. 1/6 desk
\n" ); document.write( "So Matt can build one sixth of the desk in 1 hour\r
\n" ); document.write( "\n" ); document.write( "In an hour Jim will complete 1/4 of desk and Matt will complete 1/6 desk\r
\n" ); document.write( "\n" ); document.write( "1 hour = (Jim's work + Matt's work)
\n" ); document.write( "1 hour = 1/4+1/6 desk
\n" ); document.write( "1 hour = (3+2)/12
\n" ); document.write( "1 hour = 5/12 desk
\n" ); document.write( "Multiply both sides by 12/5
\n" ); document.write( "12/5 * 1 hour = 5/12 * 12/5 desk
\n" ); document.write( "12/5 hours = 1 desk
\n" ); document.write( "2 2/5 hours
\n" ); document.write( "or
\n" ); document.write( "2.40 hours.
\n" ); document.write( " \n" ); document.write( "
\n" );