document.write( "Question 214082: Pipe a can fill a tank in 4 hours while pipe b can fill the same tank in 6 hours.How much of the tank is filed by pipe a in 1 hour?How much of the tank is filed by pipe b in 1 hour?How much of the tank is filled in 1 hour if both pipe open? \n" ); document.write( "

Algebra.Com's Answer #161689 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "Pipe a's rate is:
\n" ); document.write( "(1 tank)/(4 hrs) = $\"1%2F4\"$
\n" ); document.write( " $\"1%2F4+=+%281%2F4%29%2F1\"$ , or (1/4 of a tank)/(1 hr)
\n" ); document.write( "Pipe a can fill 1/4 of the tank in 1 hour
\n" ); document.write( "Pipe b's rate is:
\n" ); document.write( "(1 tank)/(6 hrs) = $\"1%2F6\"$
\n" ); document.write( " $\"1%2F6+=+%281%2F6%29%2F1\"$ or (1/6 of a tank)/(1 hour)
\n" ); document.write( "Pipe b can fill 1/6 of the tank in 1 hour
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "(pipe a's rate of filling) + (pipe b's rate of filling) = (rate of filling with both pipes open)
\n" ); document.write( "Let $\"x\"$ = fraction of tank filled in 1 hour with both pipes open
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+x%2F1\"$
\n" ); document.write( " $\"3%2F12+%2B+2%2F12+=+x\"$
\n" ); document.write( " $\"5%2F12+=+x\"$
\n" ); document.write( "With both pipes open, 5/12 of the tank can be filled in 1 hour
\n" ); document.write( " \n" ); document.write( "

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