document.write( "Question 1149841: pipe A can fill an empty water tank in 3hours, while pipe B can fill the same tank in 6 hours. when the tank is full it can be emptied by pipe C in 8 hours. pipes A and B are opened at the same time when the tank is empty. if one hour later , pipe C is opened. find the total time taken to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #771176 by ikleyn(52781)\"\" \"About 
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document.write( "The combined rate of the pipes A and B is filling  \"1%2F3\" + \"1%2F6\" = \"3%2F6\" = \"1%2F2\"  of the tank volume per hour.\r\n" );
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document.write( "So, after 1 hour working, the two pipes A and B will fill  \"1%2F2\"  of the tank volume.\r\n" );
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document.write( "The combined net inflow rate of the three pipes A, B and C  is  \"1%2F3\" + \"1%2F6\" - \"1%2F8\" = \"8%2F24+%2B+4%2F24+-+3%2F24\" = \"9%2F24\" = \"3%2F8\" of the tank volume per hour.\r\n" );
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document.write( "Hence, the three pipes will fill the remaining  \"1%2F2\"  of the tank volume in  \"%28%281%2F2%29%29%2F%28%283%2F8%29%29\" = \"8%2F6\" hours = \"1\"\"2%2F6\" hours = \r\n" );
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document.write( "= \"1\"\"1%2F3\" hours = 1 hour and 20 minutes.\r\n" );
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document.write( "The total time to fill the tank is then  2 hours and 20 minutes.    ANSWER\r\n" );
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