Last visit was: 08 Jul 2025, 11:35 It is currently 08 Jul 2025, 11:35
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
pushpitkc
User avatar
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,819
Own Kudos:
5,863
 [43]
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,819
Kudos: 5,863
 [43]
If it is assumed that each of the n production workers in a factory as Updated on: 01 Nov 2018, 00:59
Originally posted by pushpitkc on 01 Nov 2018, 00:55.
Last edited by Bunuel on 01 Nov 2018, 00:59, edited 1 time in total.
EDITED.
Kudos
Add Kudos
43
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

78% (01:46) correct 22% (01:54) wrong based on 974 sessions

History

Date
Time
Result
Not Attempted Yet
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
AkshdeepS
User avatar
Joined: 13 Apr 2013
Last visit: 08 Jul 2025
Posts: 1,441
Own Kudos:
1,821
 [5]
Given Kudos: 1,001
Status:It's near - I can see.
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Products:
My Reviews
Posts: 1,441
Kudos: 1,821
 [5]
If it is assumed that each of the n production workers in a factory as 11 Nov 2018, 23:33
3
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
pushpitkc
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)


Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A
General Discussion
User avatar
Gladiator59
User avatar
Joined: 16 Sep 2016
Last visit: 05 Jul 2025
Posts: 671
Own Kudos:
2,456
 [4]
Given Kudos: 192
Status:It always seems impossible until it's done.
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Products:
My Reviews
GMAT 2: 770 Q51 V42
Posts: 671
Kudos: 2,456
 [4]
If it is assumed that each of the n production workers in a factory as 01 Nov 2018, 01:01
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
pushpitkc
If it is assumed that each of the n production workers in a factory assembles one instrument every
t minutes, how many instruments does the factory assemble in 7.5 hours of production?

A. \(\frac{450n}{t}\)
B. \(\frac{450t}{n}\)
C. \(450nt\)
D. \(\frac{7.5tn}{60}\)
E. \(\frac{7.5n}{60t}\)

One worker assembles 1 instrument in t minutes.

One worker assembles 60/t instruments in one hour. ( Unitary method or if you put t = 60 mins it comes to 1 instrument per hour)

One worker assembles 60/t * 7.5 instruments in given time.

One worker assembles 450 / t instruments then n workers would n times that or 450n/t instruments.

Hence Option (A) is our choice.

Best,
Gladi
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 08 Jul 2025
Posts: 16,101
Own Kudos:
74,207
 [2]
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,101
Kudos: 74,207
 [2]
If it is assumed that each of the n production workers in a factory as 11 Nov 2018, 23:41
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pushpitkc
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)


Another option is to assume values. Say 1 worker assembles 1 instrument in 30 mins (t = 30).
In 7.5 hrs, 1 worker will assemble 15 instruments.
Put n = 1 and t = 30 in options. You should get 15 from the correct answer.

Only option (A) gives you 15.
avatar
nguyenkhanhlinh
avatar
Joined: 13 Mar 2021
Last visit: 21 Jun 2021
Posts: 2
Given Kudos: 10
Posts: 2
Kudos: 0
If it is assumed that each of the n production workers in a factory as 02 May 2021, 02:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AkshdeepS
pushpitkc
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)


Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A
I want to ask for a moment why 1 / t is the worker ratio
and "Workers * Rate * Time = Total Work" Can you tell me about this , it seems the shortest and easiest to do
User avatar
AkshdeepS
User avatar
Joined: 13 Apr 2013
Last visit: 08 Jul 2025
Posts: 1,441
Own Kudos:
1,821
 [1]
Given Kudos: 1,001
Status:It's near - I can see.
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Products:
My Reviews
Posts: 1,441
Kudos: 1,821
 [1]
If it is assumed that each of the n production workers in a factory as 03 May 2021, 05:10
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nguyenkhanhlinh
AkshdeepS
pushpitkc
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)


Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A
I want to ask for a moment why 1 / t is the worker ratio
and "Workers * Rate * Time = Total Work" Can you tell me about this , it seems the shortest and easiest to do

Alright ,

1 worker is cutting 60 apples in 60 minutes. What will be his rate of cutting?

Work = Time * Rate * No. of workers

Rate = Work / (Time * No. of workers)

Rate = 60 / (60 * 1)

Rate = 1/1 or 1 apple per minute

But time is given as "t" in the question and not exactly in minutes or hours.

Therefore, Rate = \(\frac{1(work-instrument) }{ [t(time) * 1(no. of worker)}\)
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,349
Own Kudos:
1,008
Posts: 37,349
Kudos: 1,008
If it is assumed that each of the n production workers in a factory as 10 Feb 2025, 09:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
Moderators:
Bunuel
Math Expert
102593 posts
Krunaal
PS Forum Moderator
679 posts