document.write( "Question 1121173: A water tank can be filled with a large inlet pipe and a small inlet pipe in three hours. The large inlet pipe alone can fll the tank in 2 hours less than the small inlet pipe alone. Find the time the tank can be filled by each pipe alone. \n" ); document.write( "

Algebra.Com's Answer #736946 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+1%2Ft+%2B+1%2F+%28+t-2+%29+=+1%2F3+\"$
\n" ); document.write( "( adding the rates to get a rate working together )
\n" ); document.write( "Multiply both sides by $\"+t%2A%28+t-2+%29%2A3+\"$
\n" ); document.write( " $\"+3%2A%28+t-2+%29+%2B+3t+=+t%2A%28+t-2+%29+\"$
\n" ); document.write( " $\"+3t+-+6+%2B+3t+=+t%5E2+-+2t+\"$
\n" ); document.write( " $\"+t%5E2+-+8t+%2B+6+=+0+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+t%5E2+-+8t+%2B+16+=+-6+%2B+16+\"$
\n" ); document.write( " $\"+%28+t+-+4+%29%5E2+=+10+\"$
\n" ); document.write( " $\"+t+-+4+=+sqrt%28+10+%29+\"$
\n" ); document.write( " $\"+t+=+4+%2B+3.1623+\"$
\n" ); document.write( " $\"+t+=+7.1623+\"$
\n" ); document.write( "And
\n" ); document.write( " $\"+t+-+2+=+5.1623+\"$
\n" ); document.write( "Large pipe fills tank in 5.1623 hrs
\n" ); document.write( "Small pipe fills tank in 7.1623 hrs
\n" ); document.write( " \n" ); document.write( "

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