document.write( "Question 98654: kristy can mow a lawn in 1 hour less time than her sister jane. together they can finish the job in 5 hours. how long would it take kristy if she worked alone? \n" ); document.write( "
Algebra.Com's Answer #71795 by edjones(8007)![]() ![]() You can put this solution on YOUR website! together=1/5 \n" ); document.write( "jane=1/x \n" ); document.write( "kristy=1/x-1 \n" ); document.write( "1/x + 1/(x-1)=1/5 \n" ); document.write( "multiply 5x(x-1) yimes both sides: 5(x-1)+5x=x(x-1) \n" ); document.write( "5x-5+5x=x^2-x \n" ); document.write( "-x^2+11x-5=0 \n" ); document.write( "Quadratic formula: x=10.5 x-1=9.5 \n" ); document.write( "It would take kristy 9.5 hours \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |