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Factory line A assembles materials and makes leather bags at a rate of

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Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post Updated on: 19 Aug 2019, 02:15
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Difficulty:

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Question Stats:

58% (01:40) correct 42% (01:39) wrong based on 134 sessions

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Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes after line B started production, will the two factory line have produced the same number of leather bags?

(A) 5
(B) 11
(C) 250
(D) 300
(E) 360

Originally posted by EncounterGMAT on 31 Jul 2019, 00:19.
Last edited by Bunuel on 19 Aug 2019, 02:15, edited 2 times in total.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 31 Jul 2019, 00:36
1
1
A—25 bags/hour
B—30 bags/hour

A started producing an hour earlier than B

25t+ 25= 30t
t = 5 hours
5 *60 minutes = 300

The answer choice is D

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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 04 Aug 2019, 22:35
Answer can be solved by logic.

The first machine starts its production an hour prior to the second machine but is comparatively slower than the second one.

At 6 hours, Machine A would have produced 25x6= 150
Machine B having started an hour later would have produced only for 5 hours, 5x30=150

So at 360 minutes both the machine would have the same production.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 06 Aug 2019, 07:38
lacktutor wrote:
A—25 bags/hour
B—30 bags/hour

A started producing an hour earlier than B

25t+ 25= 30t
t = 5 hours
5 *60 minutes = 300

The answer choice is D

Posted from my mobile device


Hi lacktutor,
Why is the answer not coming this way 25t= 30(t-1)
25t=30t-30
5t=30 ,t=6

Shouldn't the answer come this way too.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 06 Aug 2019, 08:16
stne wrote:
lacktutor wrote:
A—25 bags/hour
B—30 bags/hour

A started producing an hour earlier than B

25t+ 25= 30t
t = 5 hours
5 *60 minutes = 300

The answer choice is D

Posted from my mobile device


Hi lacktutor,
Why is the answer not coming this way 25t= 30(t-1)
25t=30t-30
5t=30 ,t=6

Shouldn't the answer come this way too.


Why not??

But, you need to calculate it correctly. The question is asking the total time after B starts, not A.
In your case, (t-1) is the right one.
—> 6-1=5 or 300 minutes.

Hope it helps
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 06 Aug 2019, 09:38
lacktutor wrote:
stne wrote:
lacktutor wrote:
A—25 bags/hour
B—30 bags/hour

A started producing an hour earlier than B

25t+ 25= 30t
t = 5 hours
5 *60 minutes = 300

The answer choice is D

Posted from my mobile device


Hi lacktutor,
Why is the answer not coming this way 25t= 30(t-1)
25t=30t-30
5t=30 ,t=6

Shouldn't the answer come this way too.


Why not??

But, you need to calculate it correctly. The question is asking the total time after B starts, not A.
In your case, (t-1) is the right one.
—> 6-1=5 or 300 minutes.

Hope it helps


Hi lacktutor,

Where in the question does it say total time taken by B?
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 06 Aug 2019, 10:10
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The relative rate of Factory B is (30 - 25) = 5 bags/hr
and Since the factory B starts after an hour it justs have to outweight whatever A made in an hour which is 25 bags
So 25/rel rate = 25/5 = 5 hrs = 300 min.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 06 Aug 2019, 11:15
DarshanK, since the question asks "In how many minutes" it implies that it is asking only for the time from 'now', which is when B starts running. Thus, it's not the total time but t-1hr or 300 minutes. It could be written more clearly.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 11 Aug 2019, 18:49
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EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes will the two factory line have produced the same number of leather bags?
(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


Let n = the number of hours that line B has been in production. Since line A started production 1 hour prior to line B, its time in production is n + 1 hours. We can use the equation:

25(n + 1) = 30n

25n + 25 = 30n

25 = 5n

5 = n

So, the same number of bags are produced in 5 x 60 = 300 minutes.

Answer: D
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 11 Aug 2019, 19:12
1
ScottTargetTestPrep wrote:
EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes will the two factory line have produced the same number of leather bags?
(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


Let n = the number of hours that line B has been in production. Since line A started production 1 hour prior to line B, its time in production is n + 1 hours. We can use the equation:

25(n + 1) = 30n

25n + 25 = 30n

25 = 5n

5 = n

So, the same number of bags are produced in 5 x 60 = 300 minutes.

Answer: D


Hi,

As per the below solution, U have calculater the number of hrs B take, but in question its talking about the number of hrs two factory lines will take.

So if we calculate the numbers of factory line A has worked is 360 mins.

Seems like this question is poorely written.

Both 360 and 300 can be the ans depending upon the inference of a test taker

Posted from my mobile device
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 02:09
1
vishumangal wrote:
ScottTargetTestPrep wrote:
EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes will the two factory line have produced the same number of leather bags?
(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


Let n = the number of hours that line B has been in production. Since line A started production 1 hour prior to line B, its time in production is n + 1 hours. We can use the equation:

25(n + 1) = 30n

25n + 25 = 30n

25 = 5n

5 = n

So, the same number of bags are produced in 5 x 60 = 300 minutes.

Answer: D


Hi,

As per the below solution, U have calculater the number of hrs B take, but in question its talking about the number of hrs two factory lines will take.

So if we calculate the numbers of factory line A has worked is 360 mins.

Seems like this question is poorely written.

Both 360 and 300 can be the ans depending upon the inference of a test taker

Posted from my mobile device


Hi vishumangal,
You are correct
That was precisely my query, one should be honest about one's reply rather than formulate the explanation to suit the OA.
IMO there is no way we can be sure whether total time from beginning or time taken after B starts , is being asked for here.
if any moderator can correct me , I would be grateful.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 02:17
1
stne wrote:
vishumangal wrote:
ScottTargetTestPrep wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes will the two factory line have produced the same number of leather bags?
(A) 5
(B) 11
(C) 250
(D) 300
(E) 360

Let n = the number of hours that line B has been in production. Since line A started production 1 hour prior to line B, its time in production is n + 1 hours. We can use the equation:

25(n + 1) = 30n

25n + 25 = 30n

25 = 5n

5 = n

So, the same number of bags are produced in 5 x 60 = 300 minutes.

Answer: D


Hi,

As per the below solution, U have calculater the number of hrs B take, but in question its talking about the number of hrs two factory lines will take.

So if we calculate the numbers of factory line A has worked is 360 mins.

Seems like this question is poorely written.

Both 360 and 300 can be the ans depending upon the inference of a test taker

Posted from my mobile device


Hi vishumangal,
You are correct
That was precisely my query, one should be honest about one's reply rather than formulate the explanation to suit the OA.
IMO there is no way we can be sure whether total time from beginning or time taken after B starts , is being asked for here.
if any moderator can correct me , I would be grateful.


Edited the stem to make the question less ambiguous.

Hope now the question is fine.
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 02:52
Bunuel wrote:
stne wrote:
vishnumangal wrote:
Hi,

As per the below solution, U have calculater the number of hrs B take, but in question its talking about the number of hrs two factory lines will take.

So if we calculate the numbers of factory line A has worked is 360 mins.

Seems like this question is poorely written.

Both 360 and 300 can be the ans depending upon the inference of a test taker


You are correct
That was precisely my query, one should be honest about one's reply rather than formulate the explanation to suit the OA.
IMO there is no way we can be sure whether total time from beginning or time taken after B starts , is being asked for here.
if any moderator can correct me , I would be grateful.


Edited the stem to make the question less ambiguous.

Hope now the question is fine.


Thank you sir, now everything looks awesome!
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 04:10
EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes after line B started production, will the two factory line have produced the same number of leather bags?

(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


from given info
we have
25*(x+1)=30x
x= 5 hrs or say 300 mins
IMO D
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 04:15
EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes after line B started production, will the two factory line have produced the same number of leather bags?

(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


Let the time after line B started production, will the two factory line have produced the same number of leather bags = x hours
30x = 25x + 25
5x = 25
x = 5 hours = 300 minutes


IMO D
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Re: Factory line A assembles materials and makes leather bags at a rate of  [#permalink]

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New post 19 Aug 2019, 10:54
1
EncounterGMAT wrote:
Factory line A assembles materials and makes leather bags at a rate of 25 bags/hour. Exactly an hour later, factory line B starts production of leather bags at a rate of 30 bags/hour. In how many minutes after line B started production, will the two factory line have produced the same number of leather bags?

(A) 5
(B) 11
(C) 250
(D) 300
(E) 360


B is making 5 more than A. A is already ahead in the game with 25 bags. B will take 5 hours to make those 25 bags. 5 hours is 300 minutes. Hence D
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Re: Factory line A assembles materials and makes leather bags at a rate of   [#permalink] 19 Aug 2019, 10:54

Factory line A assembles materials and makes leather bags at a rate of

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