document.write( "Question 45662: Hi again,\r
\n" ); document.write( "\n" ); document.write( "I need some assistance with this mixture problem:\r
\n" ); document.write( "\n" ); document.write( "It takes a pipe 10 minutes less than another one to fill a tank of water. Both pipes together can fill the tank in 12 minutes. How long will it take each one to fill the tank separately?\r
\n" ); document.write( "\n" ); document.write( "I am having trouble on how to start setting the equation up.\r
\n" ); document.write( "\n" ); document.write( "Thanks again,
\n" ); document.write( "Lou \n" ); document.write( "

Algebra.Com's Answer #852679 by MathTherapy(10585) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Hi again,\r\n" );
document.write( "\r\n" );
document.write( "I need some assistance with this mixture problem:\r\n" );
document.write( "\r\n" );
document.write( "It takes a pipe 10 minutes less than another one to fill a tank of water. Both pipes together\r\n" );
document.write( "can fill the tank in 12 minutes. How long will it take each one to fill the tank separately?\r\n" );
document.write( "\r\n" );
document.write( "I am having trouble on how to start setting the equation up.\r\n" );
document.write( "\r\n" );
document.write( "Thanks again,\r\n" );
document.write( "Lou\r\n" );
document.write( "\r\n" );
document.write( "Let time it takes FASTER pipe, be F\r\n" );
document.write( "Then time it takes the SLOWER pipe = F + 10\r\n" );
document.write( "Fraction of tank filled by FASTER pipe in 1 munute: \r\n" );
document.write( "Fraction of tank filled by SLOWER pipe in 1 munute: \r\n" );
document.write( "With the time taken by both pipes to fill the tank being 12 minutes, we get the following equation: \r\n" );
document.write( " 12(F + 10) + 12F = F(F + 10) ------ Multiplying by LCD, 12F(F + 10)\r\n" );
document.write( "    \r\n" );
document.write( "         \r\n" );
document.write( "\r\n" );
document.write( "     \r\n" );
document.write( "  (F - 20)(F + 6) = 0\r\n" );
document.write( "           F - 20 = 0     OR     F + 6 = 0____F = - 6 (ignore)\r\n" );
document.write( "Time faster pipe takes to fill tank, by itself, or F = 20 minutes\r\n" );
document.write( "Time slower pipe takes to fill tank, by itself, or F + 10 = 20 + 10 = 30 minutes\r\n" );
document.write( "\r\n" );
document.write( "The answer can also be seen HERE ====> Question 742195: One pipe can fill a tank in 20 minutes, while\r\n" );
document.write( "another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank?

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