Mathematics, 27.09.2019 21:00, TheViperMlg23676
Working alone at their respective constant rates, machine a and machine b can fill a certain order in 3 hours and 6 hours, respectively. if the two machines work simultaneously at their respective constant rates, how many hours does it take the two machines to fill?
Answers: 3
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](/tpl/images/0269/0333/79799.png)
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