document.write( "Question 894749: It takes Jack 15 hours longer to drain a basement than Jill. If they work together, it takes 4 hours to drain a basement. How long does it take for each person to working alone? \n" ); document.write( "
Algebra.Com's Answer #542292 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! It takes Jack 15 hours longer to drain a basement than Jill. If they work together, it takes 4 hours to drain a basement. How long does it take for each person to working alone? \n" ); document.write( "-------------- \n" ); document.write( "Draining the basement is the job. \n" ); document.write( "Jill does it in some number, J, of hours, so she does 1/J per hour. \n" ); document.write( "Jack does it in J+15 hours, so he does 1/(J+15) per hour. \n" ); document.write( "Together, they do 1/J + 1/(J+15) per hour, and it takes them 4 hours. \n" ); document.write( "Together, the do 1/4 of the job. \n" ); document.write( "---> 1/J + 1/(J+15) = 1/4 \n" ); document.write( "Can you solve for J ? \n" ); document.write( " \n" ); document.write( " |