document.write( "Question 596494: 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? Please show formula. thank you! \n" ); document.write( "
Algebra.Com's Answer #377764 by stanbon(75887)\"\" \"About 
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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? Please show formula. thank you!
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\n" ); document.write( "Steve rate = (1/5) job/min
\n" ); document.write( "Sue rate = 1/10 job/min
\n" ); document.write( "Jack rate = 1/15 job/min
\n" ); document.write( "------
\n" ); document.write( "Together rate = 1/x job/min
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate + rate = together rate
\n" ); document.write( "----
\n" ); document.write( "1/5 + 1/10 + 1/15 = 1/x
\n" ); document.write( "----
\n" ); document.write( "Multiply thru by 30x to get:
\n" ); document.write( "6x + 3x + 2x = 30
\n" ); document.write( "11x = 30
\n" ); document.write( "x = 30/11 = 2 8/11 minutes (time to do the job together)
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