document.write( "Question 458152: a tank can be filled in 18 hours by pipe A or in 24 hours by pipe B. How long would it take both pipes to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #314310 by josmiceli(19441) $\"\"$ $\"About$

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Add the rates of flow of both pipes
\n" ); document.write( " $\"+1%2F18+%2B+1%2F24+=+1%2Fx+\"$
\n" ); document.write( "This is read as:
\n" ); document.write( "(1 tankful)/(A's time to fill it) + ( 1 tankful)/(B's time to fill it) = (1 tankful)/(A and B's time to fill it)
\n" ); document.write( "Multiply both sides by $\"+72x+\"$
\n" ); document.write( " $\"+4x+%2B+3x+=+72+\"$
\n" ); document.write( " $\"+7x+=+72+\"$
\n" ); document.write( " $\"++x+=+10.286+\"$
\n" ); document.write( " $\"+.286%2A60+=+17.143+\"$
\n" ); document.write( " $\"+.143%2A60+=+8.57+\"$
\n" ); document.write( "It takes both pipes 10 hrs 17 min 9 sec
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F18+%2B+1%2F24+=+1%2F10.286+\"$
\n" ); document.write( " $\"+.0556+%2B+.04167+=+.0972+\"$
\n" ); document.write( " $\"+.0973+=+.0972+\"$
\n" ); document.write( "close enough \n" ); document.write( "

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