document.write( "Question 375331: a mason's helper requires 4 hours more to pave a concrete walk than it takes the mason. the two worked together for 3 hours when the mason war called away. the helper completed the job in 2 hours. how long would it take each to do the same job working alone? \n" ); document.write( "
Algebra.Com's Answer #267034 by edjones(8007)![]() ![]() You can put this solution on YOUR website! Mason does job in m hours. Helper does job in m+4 hours. \n" ); document.write( "t=time in hrs \n" ); document.write( "1/m + 1/(m+4)=(2m+4)/(m^2+4m) = 1/t \n" ); document.write( "3 * (2m+4)/(m^2+4m) = (6m+12)/(m^2+4m) = 3/t \n" ); document.write( "1 - (6m+12)/(m^2+4m) time remaining [1 - 3/t] \n" ); document.write( "2 * 1/(m+4)= 1 - (6m+12)/(m^2+4m) \n" ); document.write( "2/(m+4)=1 - (6m+12)/(m(m+4)) \n" ); document.write( "2m=m^2+4m-6m-12 \n" ); document.write( "m^2-4m-12=0 \n" ); document.write( "(m-6)(x+2)=0 \n" ); document.write( "m=6 hr \n" ); document.write( "m+4=10 hr \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |