document.write( "Question 211575This question is from textbook
\n" ); document.write( ": Can you please help me with this \"filling storage tanks\" word problem? Two pipes ure used to fill a water storage tank. The first pipe can fill the tank in 4hrs, and the two pipes together can fill the tank in 2 hrs less time than the second pipe alone. How long would it take for the second pipe to fill the tank? please show me all the steps and please get back before Tues 10am.
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Algebra.Com's Answer #159880 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Can you please help me with this \"filling storage tanks\" word problem? Two pipes ure used to fill a water storage tank. The first pipe can fill the tank in 4hrs, and the two pipes together can fill the tank in 2 hrs less time than the second pipe alone. How long would it take for the second pipe to fill the tank? please show me all the steps and please get back before Tues 10am.
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document.write( "Make this chart\r\n" );
document.write( "             \r\n" );
document.write( "          # tanks filled   rate in tanks/hr   time in hrs  \r\n" );
document.write( "1st pipe           \r\n" );
document.write( "2nd pipe        \r\n" );
document.write( "together         \r\n" );
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document.write( "Let's let t represent the number of hours for the second\r\n" );
document.write( "pipe to fill 1 tank.  So we fill in 1 for the # of tanks\r\n" );
document.write( "filled and t for the time in hours.\r\n" );
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document.write( "          tanks filled   rate in tanks/hr   time in hrs  \r\n" );
document.write( "1st pipe      \r\n" );
document.write( "2nd pipe       1                                 t\r\n" );
document.write( "together      \r\n" );
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\n" ); document.write( ">>...The first pipe can fill the tank in 4hrs...<<
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document.write( "So that's 1 tank in 4 hours, so fill in 1 for the\r\n" );
document.write( "tanks filled, and 4 for the time: \r\n" );
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document.write( "         # tanks filled   rate in tanks/hr   time in hrs  \r\n" );
document.write( "1st pipe       1                                 4\r\n" );
document.write( "2nd pipe       1                                 t    \r\n" );
document.write( "together                                              \r\n" );
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\n" ); document.write( ">>...the two pipes together can fill the tank in 2 hrs less time than the second pipe alone...<<
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document.write( "So together they fill exactly 1 tank in t-2 hours.  So\r\n" );
document.write( "fill in 1 for the # tanks filled an t-2 for the number of hours\r\n" );
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document.write( "         # tanks filled   rate in tanks/hr   time in hrs  \r\n" );
document.write( "1st pipe       1                                 4\r\n" );
document.write( "2nd pipe       1                                 t\r\n" );
document.write( "together       1                                t-2\r\n" );
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document.write( "To find the rates in tanks per hr, we divide the number\r\n" );
document.write( "of tanks by the number of hours in each case:\r\n" );
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document.write( "         # tanks filled   rate in tanks/hr   time in hrs  \r\n" );
document.write( "1st pipe       1              1/4                4\r\n" );
document.write( "2nd pipe       1              1/t                t\r\n" );
document.write( "together       1            1/(t-2)             t-2\r\n" );
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document.write( "The rate together is equal to the sum of the separate rates,\r\n" );
document.write( "so\r\n" );
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document.write( "(Rate of 1st pipe) + (Rate of 2nd pipe) = (Rate together)\r\n" );
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document.write( "So the equation is \r\n" );
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document.write( "            \"1%2F4%2B1%2Ft=1%2F%28t-2%29\"\r\n" );
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document.write( "Solve that and get two solutions\r\n" );
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document.write( "\"t=-2\" and \"t=4\"\r\n" );
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document.write( "The negative solution is discarded and\r\n" );
document.write( "the only solution is 4 hours for the \r\n" );
document.write( "second pipe to fill the tank.\r\n" );
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document.write( "Edwin
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