document.write( "Question 655171: 9. 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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document.write( "I have tried averaging drink times. How long it takes for each person to make a drink and a few other things. I have not done word problems for 25 years so I am sure there is an easy way to solve it but my brain can not think of it. Thanks in advance for your help, I greatly appreciate! \n" );
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Algebra.Com's Answer #408966 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! 9. 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? \n" ); document.write( ". \n" ); document.write( "This is considered a \"rate\" problem. \n" ); document.write( "Steven's \"rate\" is 20 drinks per 5 mins = 20/5 = 4 drinks per minute \n" ); document.write( "Sue's rate is 20 drinks per 10 mins = 20/10 = 2 drinks per minute \n" ); document.write( "Jack's rate is 20 drinks per 15 mins = 20/15 = 4/3 = 4 drinks per 3 minutes \n" ); document.write( ". \n" ); document.write( "Let x= time for all three to make 20 drinks \n" ); document.write( "then \n" ); document.write( "x(4/1 + 2/1 + 4/3) = 20 \n" ); document.write( "multiplying both sides by 3: \n" ); document.write( "x(12 + 6 + 4) = 60 \n" ); document.write( "x(22) = 60 \n" ); document.write( "x = 60/22 \n" ); document.write( "x = 2.73 minutes \n" ); document.write( "or \n" ); document.write( "x = 2 minutes and 44 seconds \n" ); document.write( " \n" ); document.write( " |