document.write( "Question 927307: One pipe can empty a tank 3 times faster than another pipe. Starting with a full tank, both pipes take 6 hrs to empty the tank. How long does it take the faster pipe working alone to empty a full tank? \n" ); document.write( "

Algebra.Com's Answer #562877 by TimothyLamb(4379) $\"\"$ $\"About$

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r = w/t
\n" ); document.write( "---
\n" ); document.write( "x = rate of slow pipe
\n" ); document.write( "y = rate of fast pipe
\n" ); document.write( "y = 3x
\n" ); document.write( "---
\n" ); document.write( "1/(x + y) = 6
\n" ); document.write( "1 = 6(x + y)
\n" ); document.write( "1 = 6x + 6y
\n" ); document.write( "1 = 6x + 6*3x
\n" ); document.write( "1 = 6x + 18x
\n" ); document.write( "1 = 24x
\n" ); document.write( "x = 1/24
\n" ); document.write( "---
\n" ); document.write( "y = 3x
\n" ); document.write( "y = 3/24
\n" ); document.write( "y = 1/8
\n" ); document.write( "---
\n" ); document.write( "r = w/t
\n" ); document.write( "t = w/r
\n" ); document.write( "t = w/y
\n" ); document.write( "t = 1/(1/8)
\n" ); document.write( "t = 8
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "How long it takes the faster pipe working alone to empty a full tank = 8 hours
\n" ); document.write( "---
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