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Re: Running at their respective constant rates, Machine X takes 2 days [#permalink]
With this kinda question it is always best to assign nice work values that makes sense with 2days & 3days. So let the work be to make 12 widgets.

If it takes Machine X 2 more days than Machine Y to make 12 widgets, it means, Machine Y takes 4 days at a rate of 3/day to make 12 widgets and Machine X takes 6 days at 2/day to make 12 widgets.

So working together to make 5/4(12) means they made 15 widgets at a rate of 5/day in 3days. Thus working alone and at a rate of 2/day, Machine X would take 12 days to make 2(12) widgets. Hope this helps.
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