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Machine X, working alone at a constant rate, produces w widgets in 15
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Updated on: 02 Apr 2021, 01:23
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Machine X, working alone at a constant rate, produces w widgets in 15 minutes. Machine Y, working alone at a constant rate, takes twice as much time to produce w widgets. How long, working simultaneously at their respective rates, would it take both machines working together to complete 4w widgets?
Re: Machine X, working alone at a constant rate, produces w widgets in 15
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02 Apr 2021, 06:09
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harishsridharan wrote:
Machine X, working alone at a constant rate, produces w widgets in 15 minutes. Machine Y, working alone at a constant rate, takes twice as much time to produce w widgets. How long, working simultaneously at their respective rates, would it take both machines working together to complete 4w widgets?
Concept: If X can do a piece of job in A minutes while Y and can do the same job in B minutes, working together they can finish the job in AB(A+B) minutes.
So, both machines can make w widgets in (15)(30)(15+30)=10 minutes Therefore, 4w widgets can be made in (4)(10)=40 minutes
gmatclubot
Re: Machine X, working alone at a constant rate, produces w widgets in 15 [#permalink]