Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 2w widgets. Choose the correct choice from the following answers
A) 4	B) 6	C) 8	D) 10	E) 12
rx*(t+2) = w   ry*(t) = w.   Also, w/(t+2) + w/t = (5w/4)*(1/3)   or 1/t + 1/(t+2) = 5/12 --&gt; (3+2)/12 = 1/4+1/6   Thus, t = 4. Replacing, rx = w/6,   w/6*T = 2w   or T = 12 days.   ANSW12R:12
<result>E</result>
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 2w widgets.