document.write( "Question 926110: An experienced bricklayer can construct a small wall in 4 hours. An apprentice can complete the job in 6 hours. Find how long it takes if they work together. \n" ); document.write( "
Algebra.Com's Answer #562000 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of time it takes if they both work together \n" ); document.write( "Together they work at the rate of 1/x wall per hour \n" ); document.write( "Experienced bricklayer works at the rate of 1/4 wall per hour \n" ); document.write( "Apprentice works at the rate of 1/6 wall per hour \n" ); document.write( "So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "1/4 + 1/6= 1/x multiply each term by 12x \n" ); document.write( "3x+2x=12 \n" ); document.write( "5x=12 \n" ); document.write( "x=2.4 hours---time it takes if they both work together\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "In 2.4 hours, experienced bricklayer lays (1/4)*2.4=0.6 of a wall \n" ); document.write( "In 2.4 hours apprentice lays (1/6)*2.4=0.4 of a wall \n" ); document.write( "0.6+0.4=1 (wall, that is)\r \n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor \n" ); document.write( " \n" ); document.write( " |