document.write( "Question 1200985: A water tank can be filled by an inlet pipe in
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document.write( "9
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document.write( " times as long for the outlet pipe to empty the tank. How long will it take to fill the tank if both pipes are open? \n" );
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Algebra.Com's Answer #835214 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The tank can be completely filled in 9 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It takes 4 times as long to empty the tank. \n" ); document.write( "It takes 4*9 = 36 hours to empty the tank.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's say the tank was 36 gallons.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The fill rate is 36/9 = 4 gallons per hour. \n" ); document.write( "Formula: \n" ); document.write( "rate = (amount done)/(time)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The drain rate would be 36/36 = 1 gallon per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract those two rates \n" ); document.write( "4-1 = 3 \n" ); document.write( "This indicates the net rate is +3 gallons per hour. \n" ); document.write( "The plus or positive means more water enters the tank than is drained. \n" ); document.write( "Overall, the tank is getting filled up even if the drain pipe is open.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If both pipes are open, then it would take 36/3 = 12 hours to fill the tank. \n" ); document.write( "Formula: \n" ); document.write( "time = (amount done)/(rate)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 12 hours \n" ); document.write( " \n" ); document.write( " |