document.write( "Question 1058784: A labourer built 35m of stone wall. If she had built 2m less each day, it would have taken her 2 days longer. How many metres did she build each day, working at her usual rate? \n" ); document.write( "
Algebra.Com's Answer #673879 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! amount built per day is x m \n" ); document.write( "time it took was 35/x days \n" ); document.write( "if x-2 m, then it would have taken (35/x)+2 days longer \n" ); document.write( "Therefore, (35/x-2)=(35/x)+2 \n" ); document.write( "Multiply everything by x (x-2) \n" ); document.write( "35x=35(x-2)+2x(x-2) \n" ); document.write( "35x=35x-70+2x^2-4x \n" ); document.write( "2x^2-4x-70=0 \n" ); document.write( "x^2-2x-35=0, dividing by 2 \n" ); document.write( "(x-7)(x+5)=0 \n" ); document.write( "x=-5,7, use only 7 days \n" ); document.write( "That is 5 meters per day \n" ); document.write( "If she completed 5 meters per day, it would have taken 2 days longer, or 7 days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |