document.write( "Question 40410: A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
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document.write( "_____hours
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document.write( "It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together?
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document.write( "_______hours.
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document.write( "Thanks \n" );
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Algebra.Com's Answer #25923 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank? \n" ); document.write( "_____hours \n" ); document.write( "Pipe A's rate: (1/18) \n" ); document.write( "Pipe B's rate: (1/24) \n" ); document.write( "Rate * Time = Work \n" ); document.write( "(t/18) + (t/24) = 1 \n" ); document.write( "72(t/18) + 72(t/24) = 72 \n" ); document.write( "4t + 3t = 72 \n" ); document.write( "7t = 72 \n" ); document.write( "t = 72/7 = 10 2/7 \n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together? \n" ); document.write( "_______hours \n" ); document.write( "Sarah's rate: (1/8) \n" ); document.write( "Jerry's rate: (1/12) \n" ); document.write( "RATE * TIME = WORK \n" ); document.write( "(t/8) + (t/12) = 1 \n" ); document.write( "24(t/8) + 24(t/12) = 24 \n" ); document.write( "3t + 2t = 24 \n" ); document.write( "5t = 24 \n" ); document.write( "t = 24/5 = 4 4/5 \n" ); document.write( " |