document.write( "Question 781995: a tank can be filled by one pipe in 30 minutes and emptied by another in 50 minutes. if both pipes are open how long will it take to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #476197 by josmiceli(19441) $\"\"$ $\"About$

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The rate of filling is: ( 1 tank ) / ( 30 min )
\n" ); document.write( "The rate of emptying is: ( minus 1 tank ) / ( 50 min )
\n" ); document.write( "Let $\"+t+\"$ = time in minutes to fill the tank
\n" ); document.write( " $\"+1%2F30+-+1%2F50+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+150t+\"$
\n" ); document.write( " $\"+5t+-+3t+=+150+\"$
\n" ); document.write( " $\"+2t+=+150+\"$
\n" ); document.write( " $\"+t+=+75+\"$
\n" ); document.write( "It will take 75 min or 1 hr and 15 min to fill the tank\r
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