Last visit was: 18 Nov 2025, 15:55 It is currently 18 Nov 2025, 15:55
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
GMATCoachBen
User avatar
Joined: 21 Mar 2017
Last visit: 18 Nov 2025
Posts: 465
Own Kudos:
2,719
 [79]
Given Kudos: 210
Status:Professional GMAT Trainer
Affiliations: GMAT Coach
Location: United States (WA)
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 1: 760 Q50 V44
GMAT 2: 770 Q51 V44
GMAT 3: 770 Q50 V44
GMAT 4: 770 Q50 V45 (Online)
GMAT 5: 780 Q51 V48
Expert
Expert reply
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 5: 780 Q51 V48
Posts: 465
Kudos: 2,719
 [79]
During each shift at a certain factory, nails are manufactured at a 30 Apr 2024, 16:16
5
Kudos
Add Kudos
74
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

80% (03:02) correct 20% (03:22) wrong based on 904 sessions

History

Date
Time
Result
Not Attempted Yet
During each shift at a certain factory, nails are manufactured at a constant rate of 60 nails per 5 seconds and packaged at a constant rate of 100 nails per 9 seconds. If there are 1,000 nails that are not packaged at the start of a certain shift and if each shift lasts more than 2 hours, how many nails are there that are not packaged 2 hours after the start of the shift?

A) 2,000
B) 3,200
C) 4,500
D) 6,000
E) 7,400­
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
GMATCoachBen
User avatar
Joined: 21 Mar 2017
Last visit: 18 Nov 2025
Posts: 465
Own Kudos:
2,719
 [10]
Given Kudos: 210
Status:Professional GMAT Trainer
Affiliations: GMAT Coach
Location: United States (WA)
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 1: 760 Q50 V44
GMAT 2: 770 Q51 V44
GMAT 3: 770 Q50 V44
GMAT 4: 770 Q50 V45 (Online)
GMAT 5: 780 Q51 V48
Expert
Expert reply
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 5: 780 Q51 V48
Posts: 465
Kudos: 2,719
 [10]
During each shift at a certain factory, nails are manufactured at a 30 Apr 2024, 16:35
8
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
 
GMATCoachBen
During each shift at a certain factory, nails are manufactured at a constant rate of 60 nails per 5 seconds and packaged at a constant rate of 100 nails per 9 seconds. If there are 1,000 nails that are not packaged at the start of a certain shift and if each shift lasts more than 2 hours, how many nails are there that are not packaged 2 hours after the start of the shift?

A) 2,000
B) 3,200
C) 4,500
D) 6,000
E) 7,400­
Show more
Always make sure we understand exactly what it's asking for:

"how many nails are there that are not packaged 2 hours after the start of the shift?"

­Manufacturing rate: 60 nails / 5 seconds = 12 n/s

Packaging rate: 100n / 9s = 11\(\frac{1}{9}\) n/s

We see that they are being manufactured faster than they are being packaged, so the number NOT packaged will increase from the starting value of 1,000. This is also reflected in all of the answer choices.

The rate of increase in the number not packaged will be the difference between these 2 rates:

12 n/s - 11\(\frac{1}{9}\) n/s = \(\frac{8}{9}\) n/s

The time is 2 hours. We need to convert the hours to seconds, and multiply this Rate * Time to get the increase in nails not packaged:

\(\frac{8}{9}\) \(\frac{n}{s}\) * 2 hours * 3600 \(\frac{s}{hour}\) = 6400 increase in nails not packaged

Finally, we must remember to add the starting value of 1,000 nails that are not packaged at the start of the shift. (In general, Starting Value + Change = Final Value.) It's always a great habit to confirm what it's asking for.

1000 + 6400 = 7400



 ­
User avatar
GMATCoachBen
User avatar
Joined: 21 Mar 2017
Last visit: 18 Nov 2025
Posts: 465
Own Kudos:
2,719
 [5]
Given Kudos: 210
Status:Professional GMAT Trainer
Affiliations: GMAT Coach
Location: United States (WA)
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 1: 760 Q50 V44
GMAT 2: 770 Q51 V44
GMAT 3: 770 Q50 V44
GMAT 4: 770 Q50 V45 (Online)
GMAT 5: 780 Q51 V48
Expert
Expert reply
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 5: 780 Q51 V48
Posts: 465
Kudos: 2,719
 [5]
During each shift at a certain factory, nails are manufactured at a 30 Apr 2024, 16:37
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­I saw this one on Focus Exam 6
 
As a reminder, I recommend taking these exams twice, before doing these questions tagged "GMAT Prep (Focus)", so that your score is not inflated on these precious official practice tests.
General Discussion
User avatar
eawittchow
User avatar
Joined: 16 Feb 2024
Last visit: 14 May 2024
Posts: 1
Given Kudos: 1
Posts: 1
Kudos: 0
During each shift at a certain factory, nails are manufactured at a 03 May 2024, 06:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello,
Thanks for the question.

I follow your approach until you multiplied by 3600. Could you kindly elaborate on that step?

Thanks!
avatar
thomaskiran960
avatar
Joined: 08 Apr 2020
Last visit: 10 Aug 2025
Posts: 25
Own Kudos:
3
 [1]
Given Kudos: 96
Location: India
Schools: McCombs '27 (S) Owen '27 (S) Ross '27 (S) Broad (S) Kelley '27 (I) Olin '27 (WL) Kenan-Flagler '27 (I)
GMAT Focus 1: 635 Q83 V81 DI80
GMAT Focus 2: 575 Q82 V78 DI76
GMAT Focus 3: 655 Q84 V84 DI79
GMAT 1: 650 Q46 V34
GPA: 7.43
Schools: McCombs '27 (S) Owen '27 (S) Ross '27 (S) Broad (S) Kelley '27 (I) Olin '27 (WL) Kenan-Flagler '27 (I)
GMAT Focus 3: 655 Q84 V84 DI79
GMAT 1: 650 Q46 V34
Posts: 25
Kudos: 3
 [1]
During each shift at a certain factory, nails are manufactured at a 10 May 2024, 06:22
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
eawittchow
Hello,
Thanks for the question.

I follow your approach until you multiplied by 3600. Could you kindly elaborate on that step?

Thanks!
Show more
­Hello eawittchow ,

Since the final rate, 8/9 nails per seconds, is expressed in nails per seconds and we need to find the number of nails not packaged in 2 hours, we have to convert hours to seconds to calculate no of nails not packaged.

2 hours = 2 hours * 60 mins/hour * 60 seconds/hour = 2 * 3600 seconds

Work done in 2 hour shift = Rate * Time = 8/9 nails/seconds * 2 * 3600 seconds = 6400 nails

Final value = Starting value + Work done in 2 hour shift = 1000 + 6400 = 7400 nails.

Hope this helps.

Best of luck,
Kiran Thomas­
User avatar
NEYR0N
User avatar
Joined: 12 Feb 2025
Last visit: 18 Nov 2025
Posts: 94
Own Kudos:
9
Given Kudos: 66
Posts: 94
Kudos: 9
During each shift at a certain factory, nails are manufactured at a 07 Apr 2025, 05:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATCoachBen,

its crazy how small rounding of seconds can yield extremely different results after hours accumulate.

: I did

60 per 5 sec is equivalent to 720 per minute
and 100 per 9 sec is roughly 700 per minute.

we have a difference of 20 per minute ... so for the 2 hours its 120 (minutes) * 20 = 2400... plus the 1000 == 3400..

BUT ... 100 per 9 sec is about 660 per minute ... so the difference is more like 60 ish .. *120 = 7200

GMATCoachBen

GMATCoachBen
During each shift at a certain factory, nails are manufactured at a constant rate of 60 nails per 5 seconds and packaged at a constant rate of 100 nails per 9 seconds. If there are 1,000 nails that are not packaged at the start of a certain shift and if each shift lasts more than 2 hours, how many nails are there that are not packaged 2 hours after the start of the shift?

A) 2,000
B) 3,200
C) 4,500
D) 6,000
E) 7,400­
Always make sure we understand exactly what it's asking for:

"how many nails are there that are not packaged 2 hours after the start of the shift?"

­Manufacturing rate: 60 nails / 5 seconds = 12 n/s

Packaging rate: 100n / 9s = 11\(\frac{1}{9}\) n/s

We see that they are being manufactured faster than they are being packaged, so the number NOT packaged will increase from the starting value of 1,000. This is also reflected in all of the answer choices.

The rate of increase in the number not packaged will be the difference between these 2 rates:

12 n/s - 11\(\frac{1}{9}\) n/s = \(\frac{8}{9}\) n/s

The time is 2 hours. We need to convert the hours to seconds, and multiply this Rate * Time to get the increase in nails not packaged:

\(\frac{8}{9}\) \(\frac{n}{s}\) * 2 hours * 3600 \(\frac{s}{hour}\) = 6400 increase in nails not packaged

Finally, we must remember to add the starting value of 1,000 nails that are not packaged at the start of the shift. (In general, Starting Value + Change = Final Value.) It's always a great habit to confirm what it's asking for.

1000 + 6400 = 7400



­
Show more
User avatar
DonBosco7
User avatar
Joined: 03 Mar 2020
Last visit: 18 Nov 2025
Posts: 81
Own Kudos:
15
 [3]
Given Kudos: 84
Products:
GMAT Club Tests
Posts: 81
Kudos: 15
 [3]
During each shift at a certain factory, nails are manufactured at a 18 May 2025, 05:20
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATCoachBen
During each shift at a certain factory, nails are manufactured at a constant rate of 60 nails per 5 seconds and packaged at a constant rate of 100 nails per 9 seconds. If there are 1,000 nails that are not packaged at the start of a certain shift and if each shift lasts more than 2 hours, how many nails are there that are not packaged 2 hours after the start of the shift?

A) 2,000
B) 3,200
C) 4,500
D) 6,000
E) 7,400­
Show more

The way i did this :-

1] convert 2hrs to seconds i.e = 7200 sec
2] given manufactured 60 nails in 5 secs, hence in 7200 sec how many = 86400 nails
3] given packaged 100 nails in 9 sec, hence in 7200 sec how many = 80000 nails
4] given 1000 nails are not packed at the start, hence subtract these from all packaged nails i.e => 80000-1000 = 79000
5] how many nails are there that are not packaged 2 hours after the start of the shift? =>
manufactured - packaged = 86400 - 79000 = 7400
Option Answer:- E
User avatar
LYXlyx
User avatar
Joined: 23 Sep 2024
Last visit: 18 Jul 2025
Posts: 4
Own Kudos:
1
Given Kudos: 228
Posts: 4
Kudos: 1
During each shift at a certain factory, nails are manufactured at a 05 Jun 2025, 23:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
per second
60/5:100/9=108:100
which means per 9 second manufactured 8 more nails than packaged
so for 2 hours will manufactured more 60*60*2/9*8=6400
then plus the start volume 1000
total 7400
User avatar
Souradeep17
User avatar
Joined: 01 May 2025
Last visit: 12 Nov 2025
Posts: 329
Own Kudos:
269
Given Kudos: 28
Location: India
Concentration: Technology, Strategy
GMAT Focus 1: 605 Q80 V79 DI81
GPA: 9.4
WE:Information Technology (Computer Software)
GMAT Focus 1: 605 Q80 V79 DI81
Posts: 329
Kudos: 269
During each shift at a certain factory, nails are manufactured at a 14 Aug 2025, 23:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
manufacturing rate 60n/5seconds
packaging rate 100n/9 seconds

lets take 45 seconds as LCM of 5,9
so in 45 seconds 540 nails manufactured,
and 500 nails packaged so 40 nails will remain unpackaged in every 45 seconds
now lets find how many 45 seconds are there in 2 hours = 2*60*60/45=160
160*40=6400 nails will remain not packaged and previously we had 1000 so total 7400 option (E)
GMATCoachBen
During each shift at a certain factory, nails are manufactured at a constant rate of 60 nails per 5 seconds and packaged at a constant rate of 100 nails per 9 seconds. If there are 1,000 nails that are not packaged at the start of a certain shift and if each shift lasts more than 2 hours, how many nails are there that are not packaged 2 hours after the start of the shift?

A) 2,000
B) 3,200
C) 4,500
D) 6,000
E) 7,400­
Show more
Moderators:
Bunuel
Math Expert
105355 posts
Krunaal
Tuck School Moderator
805 posts