document.write( "Question 850960: Hello :) thank you so much for helping me last time :) i've recommended you to my friends :) can please help me again ? Here's the problem Two pipes, A and B, are used to fill a water tank. The empty tank is filled in 10 hours if the two pipes are used together. If pipe A alon e is used for 6 hours and then turned off, pipe B will take over and finish filling the tank in 18 hours. How long will it take each pipe alone to fill the tank?
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Algebra.Com's Answer #512535 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hello :) thank you so much for helping me last time :) i've recommended you to my friends :) can please help me again ? Here's the problem Two pipes, A and B, are used to fill a water tank. The empty tank is filled in 10 hours if the two pipes are used together. If pipe A alone is used for 6 hours and then turned off, pipe B will take over and finish filling the tank in 18 hours. How long will it take each pipe alone to fill the tank?
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document.write( "The question is:\r\n" );
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\n" ); document.write( ">>How long will it take each pipe alone to fill the tank?<<
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document.write( "Let x = the number of hours it takes A to fill 1 tank.\r\n" );
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document.write( "That means that A's tank-filling rate is 1 tank per x hours, \r\n" );
document.write( "which is the rate of  or \r\n" );
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document.write( "Let y = the number of hours it takes B to fill 1 tank.\r\n" );
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document.write( "That means that B's rate is 1 tank per y hours, which is\r\n" );
document.write( "a rate of  or \r\n" );
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\n" ); document.write( ">>The empty tank is filled in 10 hours if the two pipes are used together.<<
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document.write( "That means that their combined rate is 1 tank per 10 hours, which is\r\n" );
document.write( "a rate of  or .\r\n" );
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document.write( "So the first equation comes from:\r\n" );
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document.write( "or     \r\n" );
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document.write( "pipe A alone is used for 6 hours and then turned off, pipe B will take\r\n" );
document.write( "over and finish filling the tank in 18 hours.\r\n" );
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document.write( "        part of tank filled   rate    time\r\n" );
document.write( "pipa A                         1/x     6 \r\n" );
document.write( "pipe B                         1/y    18\r\n" );
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document.write( "Total           1  \r\n" );
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document.write( "To find the part of the tank each filled multiply the rate by the time\r\n" );
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document.write( "        part of tank filled   rate    time\r\n" );
document.write( "pipa A         6/x             1/x     6 \r\n" );
document.write( "pipe B        18/y             1/y    18\r\n" );
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document.write( "Total           1\r\n" );
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document.write( "So the second equation comes from:\r\n" );
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document.write( "      \r\n" );
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document.write( "So you have this system of equations:\r\n" );
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document.write( "Can you solve that?  If not, email me or tell me in the thank-you note \r\n" );
document.write( "and I'll help you solve it.  But please try it on your own, and try to set up\r\n" );
document.write( "some other problems like this one. \r\n" );
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document.write( "Edwin

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