document.write( "Question 242517: 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( "
Algebra.Com's Answer #177889 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! f 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( "Let t = time required all working together \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (Mixing of 20 drinks) \n" ); document.write( ": \n" ); document.write( "A shared work equation: \n" ); document.write( " \n" ); document.write( "Multiply 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 = 2.73 minutes working together \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution on a calc; \n" ); document.write( "enter (2.73/5) + 2.73/10) + (2.73/15) = 1.00; confirms our solution \n" ); document.write( " |