document.write( "Question 457324: 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 working together to mix the 20 drinks?
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Algebra.Com's Answer #313799 by josmiceli(19441) $\"\"$ $\"About$

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Since they all have to mix 20 drinks, I can call
\n" ); document.write( "20 drinks 1 job
\n" ); document.write( "Let $\"t\"$ = time for all 3 working together
\n" ); document.write( "to mix 20 drinks
\n" ); document.write( "given:
\n" ); document.write( "Stephen's rate of working = (1 job) / (5 min)
\n" ); document.write( "Sue's rate = (1 job) / (10 min)
\n" ); document.write( "Jack's rate = (1 job) / (15 min)
\n" ); document.write( "Add their rates
\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( " $\"+.73%2A60+=+44+\"$
\n" ); document.write( "It will take them 2 minutes and 44 seconds to mix 20 drinks \n" ); document.write( "

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