document.write( "Question 37132: I do not know what formula to use to solve problems of this nature.\r
\n" ); document.write( "\n" ); document.write( "Here is the problem: 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? \r
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Algebra.Com's Answer #728294 by MathTherapy(10551)\"\" \"About 
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I do not know what formula to use to solve problems of this nature.\r
\n" ); document.write( "\n" ); document.write( "Here is the problem: 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? \r
\n" ); document.write( "\n" ); document.write( "Can you help
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Steven can do the job (mix 20 drinks) in 5 minutes, or \"1%2F5\" of job in 1 minute
\n" ); document.write( "Sue can do the job (mix 20 drinks) in 10 minutes, or \"1%2F10\" of job in 1 minute
\n" ); document.write( "Jack can do the job (mix 20 drinks) in 15 minutes, or \"1%2F15\" of job in 1 minute
\n" ); document.write( "With T being time it takes all 3 to do the job (mix 20 drinks), we then get:
\n" ); document.write( "\"%281%2F5%29+%2A+T+%2B+%281%2F10%29+%2A+T+%2B+%281%2F15%29+%2A+T+=+1\"
\n" ); document.write( "\"T%2F5+%2B+T%2F10+%2B+T%2F15+=+1\"
\n" ); document.write( "6T + 3T + 2T = 30 --------- Multiplying by LCD, 30
\n" ); document.write( "11T = 30
\n" ); document.write( "T, or time taken by the three working together, to do the job = \"highlight_green%28matrix%281%2C4%2C+30%2F11%2C+or%2C+2%268%2F11%2C+minutes%29%29\" \n" ); document.write( "
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