document.write( "Question 375972: A swimming pool can be filled by a large pipe in 4 hrs. and by a small pipe in 6 hrs. A third pipe can empty the pool in 3 hrs. How long would it take to fill the pool if all three pipes were open at the same time? \n" ); document.write( "
Algebra.Com's Answer #267434 by nerdybill(7384)\"\" \"About 
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A swimming pool can be filled by a large pipe in 4 hrs. and by a small pipe in 6 hrs. A third pipe can empty the pool in 3 hrs. How long would it take to fill the pool if all three pipes were open at the same time?
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\n" ); document.write( "Let x = time (hours) for all three pipe to fill pool
\n" ); document.write( "then
\n" ); document.write( "x(1/4 + 1/6 + 1/3) = 1
\n" ); document.write( "Multiply both sides by 12:
\n" ); document.write( "x(3 + 2 + 4) = 12
\n" ); document.write( "x(9) = 12
\n" ); document.write( "x = 12/9
\n" ); document.write( "x = 4/3
\n" ); document.write( "x = 1 and 1/3 hours
\n" ); document.write( "or
\n" ); document.write( "x = 1 hour and 20 minutes
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