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If 6 robots can make 6 devices in 6 hours and all robots (R&W)
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28 Oct 2022, 07:36
28 Oct 2022, 07:36
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If 6 robots can make 6 devices in 6 hours and all robots work at the same constant rate, how many hours will it take for 12 robots to make 60 devices?
(A) 5/6
(B) 5
(C) 6
(D) 24
(E) 30
(A) 5/6
(B) 5
(C) 6
(D) 24
(E) 30
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Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
Re: If 6 robots can make 6 devices in 6 hours and all robots (R&W)
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28 Oct 2022, 09:20
28 Oct 2022, 09:20
Given that 6 robots can make 6 devices in 6 hours and all robots work at the same constant rate and we need to find how many hours will it take for 12 robots to make 60 devices?
Problem is based on the concept of Rate and Work, where
Rate * Time = Work Done
6 robots can make 6 devices in 6 hours
Let Rate of 1 Robot be R
=> Rate of 6 Robots = 6*R = 6R
Work done = 6 devices
Time = 6 Hours
=> Rate * Time = Work Done
=> 6R * 6 = 6
=> R = \(\frac{1}{6}\)
How many hours will it take for 12 robots to make 60 devices
Rate of 12 Robots = 12R = 12 * \(\frac{1}{6}\) = 2
Work done = 60 devices
=> Rate * Time = Work Done
=> 2 * Time = 60
=> Time = \(\frac{60}{2}\) = 30 hours
So, Answer will be E
Hope it helps!
Problem is based on the concept of Rate and Work, where
Rate * Time = Work Done
6 robots can make 6 devices in 6 hours
Let Rate of 1 Robot be R
=> Rate of 6 Robots = 6*R = 6R
Work done = 6 devices
Time = 6 Hours
=> Rate * Time = Work Done
=> 6R * 6 = 6
=> R = \(\frac{1}{6}\)
How many hours will it take for 12 robots to make 60 devices
Rate of 12 Robots = 12R = 12 * \(\frac{1}{6}\) = 2
Work done = 60 devices
=> Rate * Time = Work Done
=> 2 * Time = 60
=> Time = \(\frac{60}{2}\) = 30 hours
So, Answer will be E
Hope it helps!
Re: If 6 robots can make 6 devices in 6 hours and all robots (R&W)
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18 Aug 2024, 21:07
18 Aug 2024, 21:07
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
