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If the two machines together produce 5/4 w widgets in 3 days,
They will complete w widgets together in 3*4/5 = 12/5 days.
Let t be the time it takes machine Y to complete the job alone.
t+2 is the time it takes machine X to complete the job alone.
[(12/5) / t] + [(12/5) / (t+2] = 1
t=4 -> t+2 =6.
It took me more than 2 minutes.
I hope there is a simpler solution.