document.write( "Question 130705: A can do a piece of work in 25 days and B can do a work in 20 days.both work together for 5days after that a leaves. how long will B need to finish the remaining work. \n" ); document.write( "
Algebra.Com's Answer #95447 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x= amount of time it will take B to finish the job \n" ); document.write( "A works at the rate of 1/25 of the job per day \n" ); document.write( "B works at the rate of 1/20 of the job per day\r \n" ); document.write( "\n" ); document.write( "Together A & B work at the rate of 1/25 + 1/20= \n" ); document.write( "4/100 + 5/100= 9/100 of the job per day\r \n" ); document.write( "\n" ); document.write( "If they both work together for 5 days, they complete (9/100)*5 or \n" ); document.write( "45/100 of the job, leaving 55/100 of the job yet to be done\r \n" ); document.write( "\n" ); document.write( "B can do 1/20 of the job per day, so:\r \n" ); document.write( "\n" ); document.write( "(1/20)*x=55/100 multiply each side by 100 \n" ); document.write( "5x=55 divide both sides by 5 \n" ); document.write( "x=11 days-----------------amount of time needed by B to finish the job\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |