document.write( "Question 160195: If Steven can mix 20 drinks in 5 min, Sue can mix 20 drinks in 10 min, and Jack can mix drinks in 15 min. How much time will it take all 3 of them working together to mix the 20 drinks?\r
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document.write( "The answer is 2 min and 44 seconds, but I don't know how. \n" );
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Algebra.Com's Answer #118121 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If Steven can mix 20 drinks in 5 min, Sue can mix 20 drinks in 10 min, and \n" ); document.write( "Jack can mix 20 drinks in 15 min. How much time will it take all 3 of them \n" ); document.write( " working together to mix the 20 drinks? \n" ); document.write( ": \n" ); document.write( "Let t = time required when they all work together \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (the mixing of 20 drinks) \n" ); document.write( ": \n" ); document.write( "Each will do a fraction of the job, which added together, will = 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Clear the denominators, multiply equation by 30, results: \n" ); document.write( "6t + 3t + 2t = 30 \n" ); document.write( ": \n" ); document.write( "11t = 30 \n" ); document.write( "t = \n" ); document.write( "t = 2.727 min or about 2 min 43.6 sec. all working together \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution on calc: \n" ); document.write( " \n" ); document.write( ".54 + .27 + .18 = .99 ~ 1 \n" ); document.write( " |