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Two machines, working simultaneously at their respective constant rate
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10 Mar 2021, 06:39
10 Mar 2021, 06:39
Expert Reply
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Question Stats:
95% (01:21) correct
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Two machines, working simultaneously at their respective constant rates, can print 400 sheets in 5 hours. If one machine can print 200 sheets in 3 hours, what is the rate of the other machine, in sheets per hour?
40/3
80/3
100/3
80
200
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
40/3
80/3
100/3
80
200
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: Two machines, working simultaneously at their respective constant rate
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10 Mar 2021, 07:41
10 Mar 2021, 07:41
2
Solution:
As the two machines together prints 400 sheets in 5 hours, they can together print 400/5=80 sheets per hour
One machine can print \(\frac{200}{3}\)=66.666 sheets per hour.
Thus, 80-66.666=13.33~\(\frac{40}{3}\)
IMO A
Hope this helps
As the two machines together prints 400 sheets in 5 hours, they can together print 400/5=80 sheets per hour
One machine can print \(\frac{200}{3}\)=66.666 sheets per hour.
Thus, 80-66.666=13.33~\(\frac{40}{3}\)
IMO A
Hope this helps
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Re: Two machines, working simultaneously at their respective constant rate
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10 Mar 2021, 07:52
10 Mar 2021, 07:52
1
Carcass wrote:
Two machines, working simultaneously at their respective constant rates, can print 400 sheets in 5 hours. If one machine can print 200 sheets in 3 hours, what is the rate of the other machine, in sheets per hour?
40/3
80/3
100/3
80
200
40/3
80/3
100/3
80
200
Let the machines be A and B
In 5 hours; A + B = 400
In 1 hour; A + B = 80
Let A print 200 sheets in 3 hours
So, A can print \(\frac{200}{3}\) sheets in 1 hour
Therefore, \(\frac{200}{3}\) + B = 80
B = \(\frac{40}{3}\)
Hence, option A
