Last visit was: 24 Apr 2026, 20:31 It is currently 24 Apr 2026, 20:31
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,088
 [6]
Given Kudos: 105,873
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,088
 [6]
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
User avatar
Icecream87
Joined: 23 Sep 2015
Last visit: 02 Aug 2018
Posts: 332
Own Kudos:
353
 [2]
Given Kudos: 72
Location: France
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE:Real Estate (Mutual Funds and Brokerage)
Products:
GMAT 2: 700 Q48 V38
Posts: 332
Kudos: 353
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,454
 [2]
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,454
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 1,973
Own Kudos:
10,169
 [1]
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
Posts: 1,973
Kudos: 10,169
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since , Machine 1-M1 take 10 mins to fill the order
The work done by M1 in a min = 1/10
Machine 2- M2 take 12 mins to fill the same order
and work done by M2 in a min = 1/12

Total work done by M1 and M2 in a min = 1/10 + 1/12 = 11/60
Time needed for M1 and M2 to complete the order = 60/11 = 5 5/11

Answer C
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,777
Own Kudos:
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,777
Kudos: 13,047
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi All,

This question can be solved using the Work Formula:

Work = (A)(B)/(A+B) where A and B are the individual completion rates of the respective entities (for the same job).

We're told that one machine takes 10 minutes to complete a job and another machine takes 12 minutes to complete the same job. Plugging in those values gets us...

(10)(12)/(10+12) = 120/22 = 5 10/22 = 5 5/11 minutes

Final Answer:
GMAT assassins aren't born, they're made,
Rich
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,459
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?

A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
PS21161

With most work questions, a useful approach is to assign a "nice" value to the total job.
We want a number that works well with the given numbers, 10 and 12

So, let's say the production order consists of making 120 widgets

It would take one machine 10 minutes to fill the production order
Rate = output/ time = 120/10 = 12 widgets per minute

It would take the other machine 12 minutes to fill the production order
Rate = output/ time = 120/12 = 10 widgets per minute

COMBINED rate of both machines = 12 + 10 = 22 widgets per minute

How many minutes would it take both machines working together, at their respective rates, to fill the order?
Time = output/rate = 120/22 = 60/11 = 5 5/11 minutes

Answer: C

Cheers,
Brent
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,454
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?

A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11


PS21161
FORMULA APPROACH

\(\frac{10*12}{10+12} = \frac{120}{22} => \frac{60}{11} = 5\frac{5}{11}\), Answer must be (C)
User avatar
DanTheGMATMan
Joined: 02 Oct 2015
Last visit: 23 Apr 2026
Posts: 380
Own Kudos:
Given Kudos: 9
Expert
Expert reply
Posts: 380
Kudos: 267
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­Bread and butter rate question:

­
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,976
Own Kudos:
Posts: 38,976
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109818 posts
Tuck School Moderator
853 posts