document.write( "Question 739724: At the end of an amusement park ride, a boat lands in a pool, splashing out a lot of water. Three inlet pipes, each working alone, can fill the pool in 8 seconds, 12 seconds, and 16 seconds, respectively. How long would it take to fill the pool if all three inlet pipes are used? \n" ); document.write( "

Algebra.Com's Answer #451279 by josmiceli(19441) $\"\"$ $\"About$

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Add the 3 pipe's rates of filling
\n" ); document.write( "( 1 pool filled ) / ( 8 sec ) + ( 1 pool filled ) / ( 12 sec ) + ( 1 pool filled ) / ( 16 sec )
\n" ); document.write( "= ( 1 pool filled ) / ( t sec )
\n" ); document.write( " $\"+1%2F8+%2B+1%2F12+%2B+1%2F16+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+48t+\"$
\n" ); document.write( " $\"+6t+%2B+4t+%2B+3t+=+48+\"$
\n" ); document.write( " $\"+13t+=+48+\"$
\n" ); document.write( " $\"+t+=+3.6923+\"$
\n" ); document.write( "With all 3 pipes used, the pool is
\n" ); document.write( "filled in 3.6923 sec
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F8+%2B+1%2F12+%2B+1%2F16+=+1%2F3.6923+\"$
\n" ); document.write( " $\"+.125+%2B+.08333+%2B+.0625+=+.270833+\"$
\n" ); document.write( " $\"+.27083+=+.270833+\"$
\n" ); document.write( "close enough \n" ); document.write( "

\n" );