document.write( "Question 36775: can you please help me!!!!! solve this one with rational expression!!!! John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of apples in 9 hours, then how long would it take john to peal the apples working alone? (please round your answer to three deciaml places) \n" ); document.write( "
Algebra.Com's Answer #22598 by stanbon(75887) ![]() You can put this solution on YOUR website! John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of apples in 9 hours, then how long would it take john to peal the apples working alone?\r \n" ); document.write( "\n" ); document.write( "Andrew Data: \n" ); document.write( " time to do job = \"x\" hrs. \n" ); document.write( " rate doing job = 1/x job/hr. \n" ); document.write( "John Data: \n" ); document.write( " time to do job = \"x+3\" hrs. \n" ); document.write( " rate doing job = 1/(x+3) job/hr. \n" ); document.write( "Together Data: \n" ); document.write( " time to do job = 9 hrs. \n" ); document.write( " rate doing job = 1/9 job/hr. \n" ); document.write( "EQUATION: \n" ); document.write( " Rate + Rate = Rate \n" ); document.write( " 1/x + 1/(x+3) = 1/9 \n" ); document.write( "9(x+3)+9x=x(x+3) \n" ); document.write( "18x+27=x^2+3x \n" ); document.write( "x^2-15x-27=0 \n" ); document.write( "Use quadratic formula to get: \n" ); document.write( "x=[15+sqrt(333)]/2 or [15-sqrt(333)]/2 \n" ); document.write( "x=16.624 hrs. \n" ); document.write( "The 2nd value of \"x\" is negative. \n" ); document.write( "John's time = x+3 = 19.624 hrs. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |