document.write( "Question 161429: John takes three times longer than Andrew to peel 400 pounds of apples. Working together they can peel 400 pounds of apples in 8 hours. How long would it take John to peel them alone? \n" ); document.write( "
Algebra.Com's Answer #118900 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! x*3x/(x+3x)=8 \n" ); document.write( "3x^2=8*4x \n" ); document.write( "3x^2=32x \n" ); document.write( "3x^2-32x=0 \n" ); document.write( "x(3x-32)=0 \n" ); document.write( "3x-32=0 \n" ); document.write( "3x=32 \n" ); document.write( "x=32/3 or 10.667 Andrew's time. \n" ); document.write( "3x=3*10.66=32 John's time. \n" ); document.write( "Proof: \n" ); document.write( "10.667*32/(10.667+32)=8 \n" ); document.write( "341.333/42.667=8 \n" ); document.write( "8=8 \n" ); document.write( " \n" ); document.write( " |