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)![]() ![]() You can put this solution on YOUR website! 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( ". \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 \n" ); document.write( " \n" ); document.write( " |