document.write( "Question 828690: Filling a hot tub with a hose takes 4 hours. Draining the same tub takes 7 hours. If the drain is open, how long will it take to fill the tub? \n" ); document.write( "
Algebra.Com's Answer #499452 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "hose rate:
\n" ); document.write( "r = v/t = 1/4
\n" ); document.write( "---
\n" ); document.write( "drain rate:
\n" ); document.write( "r = v/t = 1/7
\n" ); document.write( "---
\n" ); document.write( "net rate:
\n" ); document.write( "1/4 - 1/7
\n" ); document.write( "7/28 - 4/28
\n" ); document.write( "3/28
\n" ); document.write( "---
\n" ); document.write( "time = 1/rate
\n" ); document.write( "net time to fill the tub with hose and drain open = 28/3 = 9.333333 = 9 hours and 20 minutes
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