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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 10 Mar 2020, 04:22
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96% (01:17) correct 4% (02:32) wrong based on 240 sessions

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Machine X produces cartons at a uniform rate of 90 every 3 minutes, and Machine Y produces cartons at a uniform rate of 100 every 2 minutes. Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
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A
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 10 Mar 2020, 04:52
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Bunuel
Machine X produces cartons at a uniform rate of 90 every 3 minutes, and Machine Y produces cartons at a uniform rate of 100 every 2 minutes. Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
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Given:
1. Machine X produces cartons at a uniform rate of 90 every 3 minutes, and
2. Machine Y produces cartons at a uniform rate of 100 every 2 minutes.

Asked: Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

Rate of Machine X = 30 cartons/minute
Rate of Machine Y = 50 cartons/minute
Working simultaneously, combined rate of Machine X and Machine Y = 80 cartons/ minute

Time required to produce 560 cartons = 560 / 80 = 7 minutes

IMO A
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 10 Mar 2020, 04:52
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Bunuel
Machine X produces cartons at a uniform rate of 90 every 3 minutes, and Machine Y produces cartons at a uniform rate of 100 every 2 minutes. Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
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M*T/W = Constant

X rate = 30 every minute
Y rate = 50 every minute

X+Y rate = 80 every minutes

560 will be produced in 7 minutes at this rate

Answer: Option A
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 13 Mar 2020, 05:46
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Is this really a 600-700 level question ?
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 13 Mar 2020, 06:36
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sahylsharma
Is this really a 600-700 level question ?
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I would place the difficulty level of this question in the 500-550 range
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 13 Mar 2020, 07:35
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Bunuel
Machine X produces cartons at a uniform rate of 90 every 3 minutes, and Machine Y produces cartons at a uniform rate of 100 every 2 minutes. Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
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Efficiency of Machine X is 30 / Min
Efficiency of Machine Y is 50 / Min

Combined efficiency of Machine X & Y per minute is 80/Min

So, Time required to produce a total of 560 cartons is 560/80 = 7 Minutes, Answer must be (A)
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sahylsharma
Is this really a 600-700 level question ?

I would place the difficulty level of this question in the 500-550 range
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With the same opinion....
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 17 Jan 2021, 12:22
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Bunuel
Machine X produces cartons at a uniform rate of 90 every 3 minutes, and Machine Y produces cartons at a uniform rate of 100 every 2 minutes. Working simultaneously, the two machines would produce a total of 560 cartons in how many minutes?

(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
Show more
Solution:

We see that Machine X’s rate is 90/3 = 30 cartons per minute and Machine Y’s rate is 100/2 = 50 cartons per minute. Therefore, their combined rate is 30 + 50 = 80 cartons per minute, and it will take 560/80 = 7 minutes to produce a total 560 cartons when the two machines work simultaneously.

Answer: A
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Machine X produces cartons at a uniform rate of 90 every 3 minutes, a 08 Mar 2024, 03:27
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