Running at their respective constant rates, machine X takes 6 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?	Pick one:	A) 8	B) 6	C) 4	D) 10	E) 12
Together they make 5/4 w widgets in 3 days. So they make w widgets in 3*4/5 = 12/5 days.   1/(t+2) + 1/t = 5/12   Now, calculating this is really cumbersome so try to plug in options to get to the answer.   If machine X takes 12 days to produce 2w widgets, it would take 6 days to make w widgets, t would be 4.   1/6 + 1/4 = 5/12   It works so t = 4.   8nswer : 8
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Running at their respective constant rates, machine X takes 6 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?