document.write( "Question 539754: if steven can mix 20 drinks in 5 minutes ,sue can mix 20 drinks in 10 minutes.and jack can mix 20 drinks in 15 minutes ,how much time will it take all 3 of them workimg together to mix the 20 drinks? \n" ); document.write( "

Algebra.Com's Answer #353535 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of mixing drinks to get
\n" ); document.write( "their rate working together
\n" ); document.write( "Call mixing 20 drinks ( 1 job )
\n" ); document.write( "Steven's rate is ( 1 job ) / ( 5 min )
\n" ); document.write( "Sue's rate is ( 1 job ) / ( 10 min )
\n" ); document.write( "Jack's rate is ( 1 job ) / (15 min )
\n" ); document.write( "Let $\"+t+\"$ = time for all 3 working
\n" ); document.write( " together to do 1 job
\n" ); document.write( " $\"+1%2F5+%2B+1%2F10+%2B+1%2F15+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+30t+\"$
\n" ); document.write( " $\"+6t+%2B+3t+%2B+2t+=+30+\"$
\n" ); document.write( " $\"+11t+=+30+\"$
\n" ); document.write( " $\"+t+=+2.73+\"$
\n" ); document.write( " $\"+.73%2A60+=+43.6+\"$
\n" ); document.write( "It will take them 2 min and 44 sec \n" ); document.write( "

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