document.write( "Question 507347: One pipe fills a storage tank in 30 hours. A second pipe fills the same tank in 45 hours. When a third pipe is added and all three pipes are used to fill the tank it only 9 hours. Find how long it takes the third pipe to do the job. \n" ); document.write( "
Algebra.Com's Answer #340447 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! One pipe fills a storage tank in 30 hours. A second pipe fills the same tank in 45 hours. When a third pipe is added and all three pipes are used to fill the tank it only 9 hours. Find how long it takes the third pipe to do the job. \n" ); document.write( "** \n" ); document.write( "Work rates: \n" ); document.write( "1st pipe: 1/30 \n" ); document.write( "2nd pipe: 1/45 \n" ); document.write( "3rd pipe: 1/x \n" ); document.write( "All three pipes used: 1/9 \n" ); document.write( ".. \n" ); document.write( "sum of individual rates = rate when all working together \n" ); document.write( ".. \n" ); document.write( "1/30+1/45/+1/x=1/9 \n" ); document.write( "1/x=1/9-1/30-1/45 \n" ); document.write( "LCD:90x \n" ); document.write( "90=10x-3x-2x=5x \n" ); document.write( "5x=90 \n" ); document.write( "x=18 \n" ); document.write( "ans: \n" ); document.write( "It would take the 3d pipe 18 hours to do the job alone \n" ); document.write( " |