document.write( "Question 537398: the larger of two pipes can fill a tank twice as fast as the smaller pipes. together the two pipes require 20 minutes to fill the tank. find the number of minutes required for the larger pipe to fill. \n" ); document.write( "

Algebra.Com's Answer #352873 by Edwin McCravy(20059) $\"\"$ $\"About$

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the larger of two pipes can fill a tank twice as fast as the smaller pipes. together the two pipes require 20 minutes to fill the tank. find the number of minutes required for the larger pipe to fill.
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document.write( "               Tanks      Time in      Rate in       \r\n" );
document.write( "              filled      minutes    tanks/minute\r\n" );
document.write( "Larger pipe                  \r\n" );
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document.write( "Smaller pipe\r\n" );
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document.write( "Both together\r\n" );
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document.write( "Fill in x for the time for the larger, And since the smaller\r\n" );
document.write( "pipe takes twice as long, fill in 2x for the smaller pipe's\r\n" );
document.write( "time.  Fil in the 20 minutes it takes both pipes together\r\n" );
document.write( "to fill 1 tank:\r\n" );
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document.write( "               Tanks      Time in      Rate in       \r\n" );
document.write( "              filled      minutes    tanks/minute\r\n" );
document.write( "Larger pipe                  x                 \r\n" );
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document.write( "Smaller pipe                2x\r\n" );
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document.write( "Both together               20\r\n" );
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document.write( "In all three cases exactly 1 tank is being filled, so\r\n" );
document.write( "we put 1 for the tanks filled in every case\r\n" );
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document.write( "               Tanks      Time in      Rate in       \r\n" );
document.write( "              filled      minutes    tanks/minute\r\n" );
document.write( "Larger pipe      1           x                 \r\n" );
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document.write( "Smaller pipe     1          2x\r\n" );
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document.write( "Both together    1          20\r\n" );
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document.write( "next fill in the rates in tanks/min by putting tanks over\r\n" );
document.write( "minutes:\r\n" );
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document.write( "               Tanks      Time in      Rate in       \r\n" );
document.write( "              filled      minutes    tanks/minute\r\n" );
document.write( "Larger pipe      1           x                             \r\n" );
document.write( "Smaller pipe     1          2x           \r\n" );
document.write( "Both together    1          20          \r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "                +  =   \r\n" );
document.write( "                         +  =    \r\n" );
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document.write( "Clear of fractions and solve for x.\r\n" );
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document.write( "Answer:  x = 30 minutes\r\n" );
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document.write( "Edwin

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