document.write( "Question 725396: If Hose A fills a bucket in 45 minutes and Hose B can fill the same bucket in 30 minutes, how long will it take both hoses to fill the same bucket? \n" ); document.write( "

Algebra.Com's Answer #444135 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = minutes to fill bucket with both hoses
\n" ); document.write( "Add their rates of filling
\n" ); document.write( "( 1 bucket / 45 min ) + ( 1 bucket / 30 min ) = 1 bucket / t min
\n" ); document.write( " $\"+1%2F45+%2B+1%2F30+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+90t+\"$
\n" ); document.write( " $\"+2t+%2B+3t+=+90+\"$
\n" ); document.write( " $\"+5t+=+90+\"$
\n" ); document.write( " $\"+t+=+18+\"$
\n" ); document.write( "It takes 18 minutes to fill bucket with both hoses
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F45+%2B+1%2F30+=+1%2F18+\"$
\n" ); document.write( " $\"+4+%2F+180+%2B+6+%2F+180+=+10+%2F+180+\"$
\n" ); document.write( " $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

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