document.write( "Question 371768: Thank you very much to anyone who solves this problem. The pool can be filled in 8 hours and 30 minutes with a red hose. If I run a red and a green hose together, the pool can be filled in 5 hours and 15 minutes. How long would it take to fill up the pool with the green hose only? \n" ); document.write( "
Algebra.Com's Answer #265045 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The pool can be filled in 8 hours and 30 minutes with a red hose. \n" ); document.write( " If I run a red and a green hose together, the pool can be filled \n" ); document.write( " in 5 hours and 15 minutes. \n" ); document.write( "How long would it take to fill up the pool with the green hose only? \n" ); document.write( ": \n" ); document.write( "Change 8 hrs 30 min to 8.5 hrs \n" ); document.write( "Change 5 hrs 15 min to 5.25 hrs \n" ); document.write( ": \n" ); document.write( "let g = time required by the green hose only \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (a full pool) \n" ); document.write( ": \n" ); document.write( "A typical shared work problem \n" ); document.write( "Each hose will do a fraction of the job, the two fractions add up to 1. \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "multiply by 8.5g to clear the denominators, results: \n" ); document.write( "5.25g + 8.5(5.25) = 8.5g \n" ); document.write( ": \n" ); document.write( "5.25g + 44.625 = 8.5g \n" ); document.write( ": \n" ); document.write( "44.625 = 8.5g - 5.25g \n" ); document.write( ": \n" ); document.write( "44.625 = 3.25g \n" ); document.write( "g = \n" ); document.write( "g = 13.73 hrs which is: 13 + .73(60) = 13 hrs 44 min \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out \n" ); document.write( "5.25/8.5 + 5.25/13.73 = \n" ); document.write( ".617 + .382 = .999 ~ 1, \n" ); document.write( ": \n" ); document.write( "How about this? Did it make sense to you? \n" ); document.write( " |