document.write( "Question 242728: I have tried repeatedly to figure these problems. I have 28 problems so I am getting help with 6. Thank you so much for all your help!!!\r
\n" ); document.write( "\n" ); document.write( "One pipe can fill a tank in 40 minutes and a larger pipe can fill it in 25 minutes. After the smaller pipe has been operating for 30 minutes the larger pipe is also turned on. How many more minutes does it take to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #177691 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
I have tried repeatedly to figure these problems. I have 28 problems so I am getting help with 6. Thank you so much for all your help!!!
\n" ); document.write( "One pipe can fill a tank in 40 minutes and a larger pipe can fill it in 25 minutes. After the smaller pipe has been operating for 30 minutes the larger pipe is also turned on. How many more minutes does it take to fill the tank?
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document.write( "Make this chart, filling in the known quantities and let the unknown\r\n" );
document.write( "time for the number of minutes more for both pipes to fill the tank\r\n" );
document.write( "be t:\r\n" );
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document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1                            40 \r\n" );
document.write( "large pipe in general         1                            25\r\n" );
document.write( "small pipe alone                                           30\r\n" );
document.write( "both pipes together                                         t\r\n" );
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document.write( "Now find the two rates by dividing the number of tanks filled, which\r\n" );
document.write( "is 1, in the general case by the time to get their rates in tanks per \r\n" );
document.write( "minute:\r\n" );
document.write( "\r\n" );
document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1              1/40          40 \r\n" );
document.write( "large pipe in general         1              1/25          25\r\n" );
document.write( "small pipe alone                                           30\r\n" );
document.write( "both pipes together                                         t\r\n" );
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document.write( "Now fill in the rate for the small pipe alone for the 30 minutes also\r\n" );
document.write( "as 1/40:\r\n" );
document.write( "\r\n" );
document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1              1/40          40 \r\n" );
document.write( "large pipe in general         1              1/25          25\r\n" );
document.write( "small pipe alone                             1/40          30\r\n" );
document.write( "both pipes together                                         t\r\n" );
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document.write( "Now fill in the part of the tank filled by the smal pipe alone\r\n" );
document.write( "for the 30 minutes by multiplying the rate by the time,\r\n" );
document.write( "getting  30/40 or 3/4 of a tank:\r\n" );
document.write( "\r\n" );
document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1              1/40          40 \r\n" );
document.write( "large pipe in general         1              1/25          25\r\n" );
document.write( "small pipe alone             3/4             1/40          30\r\n" );
document.write( "both pipes together                                         t\r\n" );
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document.write( "Now get the combined rate of both pipes together by adding their \r\n" );
document.write( "rates:\r\n" );
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document.write( ". Fill that in:\r\n" );
document.write( "\r\n" );
document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1              1/40          40 \r\n" );
document.write( "large pipe in general         1              1/25          25\r\n" );
document.write( "small pipe alone             3/4             1/40          30\r\n" );
document.write( "both pipes together                        13/200           t\r\n" );
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document.write( "Fill in the part of a tank the two pipes together filled during\r\n" );
document.write( "the t minutes when they were both open by multiplying the rate \r\n" );
document.write( "times the time, \r\n" );
document.write( "\r\n" );
document.write( "                           number of\r\n" );
document.write( "                         tanks or parts     rate in\r\n" );
document.write( "                             of             tanks per    time in\r\n" );
document.write( "                         tanks filled       minute       minutes \r\n" );
document.write( "small pipe in general         1              1/40          40 \r\n" );
document.write( "large pipe in general         1              1/25          25\r\n" );
document.write( "small pipe alone             3/4             1/40          30\r\n" );
document.write( "both pipes together      (13/200)t         13/200           t\r\n" );
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document.write( "Now the 3/4 of a tank which the small pipe filled during the 30\r\n" );
document.write( "minutes PLUS the part of the tank which both pipes filled during\r\n" );
document.write( "the t minutes must equal to 1 tank.  So the equation is:\r\n" );
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document.write( "               \r\n" );
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document.write( "Can you solve that? If not post again asking how.\r\n" );
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document.write( "Answer:  minutes or  minutes.\r\n" );
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document.write( "Edwin

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