document.write( "Question 1029990: A container 80cm/60cm/70cm needs to be filled up completely with water. Tube A supplies 24l of water per minute and Tube B supplies 18l of water per minute. Mr Tan fills up the container by taking turns to use both Tubes for 17minutes. How long does he use each of the Tubes? \n" ); document.write( "

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\n" ); document.write( "A container 80cm/60cm/70cm needs to be filled up completely with water.
\n" ); document.write( "Tube A supplies 24l of water per minute and Tube B supplies 18l of water per minute.
\n" ); document.write( "Mr Tan fills up the container by taking turns to use both Tubes for 17minutes.
\n" ); document.write( "How long does he use each of the Tubes?
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document.write( "The volume of the tank is 80*60*70 = 336000 cm^3,  or 336 liters.\r\n" );
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document.write( "Let x be the time for tube A working, in minutes;\r\n" );
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document.write( "then (17-x) is the time for the tube B working.\r\n" );
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document.write( "Write an equation for the total volume\r\n" );
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document.write( "    24*x + 18*(17-x) = 336.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    24x + 306 - 18x = 336\r\n" );
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document.write( "    24x - 18x = 336 - 306\r\n" );
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document.write( "        6x    =    30\r\n" );
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document.write( "         x    =    30/6 = 5.\r\n" );
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document.write( "So, tube A worked 5 minutes;  tube B worked 17-5 = 12 minutes.    <<<---===  ANSWER\r\n" );
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document.write( "CHECK.  The total volume is  24*5 + 18*12 = 336 liters,  which is precisely correct.\r\n" );
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