document.write( "Question 396484: Please show me how to solve this problem. I am sure that there is an equation to use but I do not know where to start. \r
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document.write( "A backyard pool is being drained. The pool contains 9925 gallons of water. At 9am, Drain 1 is opened which drains at 175 gallons every 15 minutes. At 10am, Drain2 is opened (Drain 1 continues draining, too) and it drains 450 gallons every 30 minutes. At what time will the pool contain 0 gallons of water? \r
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document.write( "THANK YOU! \n" );
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Algebra.Com's Answer #281272 by mananth(16949) You can put this solution on YOUR website! A backyard pool is being drained. The pool contains 9925 gallons of water. At 9am, Drain 1 is opened which drains at 175 gallons every 15 minutes. At 10am, Drain2 is opened (Drain 1 continues draining, too) and it drains 450 gallons every 30 minutes. At what time will the pool contain 0 gallons of water? \r \n" ); document.write( "\n" ); document.write( "THANK YOU!\r \n" ); document.write( "\n" ); document.write( "... \n" ); document.write( "let the total time to drain be x \n" ); document.write( ".. \n" ); document.write( "Drain 1 = 700 gallons /h \n" ); document.write( "Drain 2 = 900 gallons/h \n" ); document.write( "... \n" ); document.write( "Drain 1 is open for x hours \n" ); document.write( "so it drained 700x gallons \n" ); document.write( ".. \n" ); document.write( "Drain 2 is open for (x-1) hours \n" ); document.write( "so it drains 900(x-1) gallons \n" ); document.write( "... \n" ); document.write( "700x+900(x-1)=9925 \n" ); document.write( "700x+900x-900=9925 \n" ); document.write( "1600x=9925+900 \n" ); document.write( "1600x= 10825 \n" ); document.write( "/2500 \n" ); document.write( "x= 6.765 hours \n" ); document.write( "x= 6hours 46 minutes \n" ); document.write( "Time it will empty = 3.46 pm \n" ); document.write( "... \n" ); document.write( " \n" ); document.write( " |