document.write( "Question 894645: Jack and Nick have the same size lawn. Jack can mow the lawn in 24 minutes and Nick can mow the lawn in 36 minutes. At what time will Nick have twice as much lawn to mow as Jack? \n" ); document.write( "
Algebra.Com's Answer #542218 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
2*(1-x/24) =(1-x/36)
\n" ); document.write( "2-x/12 = 1-x/36
\n" ); document.write( "2-x/12 = 1-x/36
\n" ); document.write( "1-x/12=-x/36
\n" ); document.write( "1=-x/36+x/12
\n" ); document.write( "1=-x/36+3x/36
\n" ); document.write( "1=2x/36
\n" ); document.write( "1=x/18
\n" ); document.write( "x=18
\n" ); document.write( "check
\n" ); document.write( "Jack 2*(1-x/24) =(1-x/36) Nick
\n" ); document.write( "Jack 2*(1-18/24) =(1-18/36) Nick
\n" ); document.write( "Jack 2*(6/24) =(18/36) Nick
\n" ); document.write( "Jack 12/24 =18/36 Nick
\n" ); document.write( "Jack 1/2 =1/2 Nick
\n" ); document.write( "ok\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check
\n" ); document.write( "Jack (1-x/24) (1-x/36) Nick
\n" ); document.write( "Jack (1-18/24) (1-18/36) Nick
\n" ); document.write( "Jack (1-3/4) (1-1/2) Nick
\n" ); document.write( "Jack (6/24) (18/36) Nick
\n" ); document.write( "Jack 1/4 1/2 Nick
\n" ); document.write( "ok
\n" ); document.write( "After 18 minutes Jack will have finished 3/4 and have 1/4 left
\n" ); document.write( "After 18 minutes Nick will have finished 1/2 and have 1/2 left\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "see also http://www.algebra.com/algebra/homework/equations/Equations.faq.question.829787.html
\n" ); document.write( "http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.824795.html
\n" ); document.write( "
\n" );