document.write( "Question 816590: if hose a can fill up a swimming pool in 6 hours, hose b in 3 hours, hose c in 2 hours, how long will it take to fill up the pool using all 3 hoses?
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Algebra.Com's Answer #491600 by TimothyLamb(4379)\"\" \"About 
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V is the pool's volume
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\n" ); document.write( "fill rates:
\n" ); document.write( "a = V/6
\n" ); document.write( "b = V/3
\n" ); document.write( "c = V/2
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\n" ); document.write( "effective fill rate with three hoses:
\n" ); document.write( "e = a + b + d
\n" ); document.write( "e = V/6 + V/3 + V/2
\n" ); document.write( "e = 6V/36 + 12V/36 + 18V/36
\n" ); document.write( "e = 36V/36
\n" ); document.write( "e = V (volume units / hour)
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\n" ); document.write( "rate = units / time
\n" ); document.write( "time = units / rate
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\n" ); document.write( "time to fill pool:
\n" ); document.write( "t = units / rate
\n" ); document.write( "t = V (volume units) / V (volume units / hour)
\n" ); document.write( "t = 1 hour
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\n" ); document.write( "Answer:
\n" ); document.write( "t = 1 hour
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