Last visit was: 24 Apr 2026, 08:04 It is currently 24 Apr 2026, 08:04
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: 109,814
Own Kudos:
Given Kudos: 105,871
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,011
 [12]
Kudos
Add Kudos
12
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,814
Own Kudos:
Given Kudos: 105,871
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,011
Kudos
Add Kudos
Bookmarks
Bookmark this Post
General Discussion
User avatar
Dereno
Joined: 22 May 2020
Last visit: 24 Apr 2026
Posts: 1,398
Own Kudos:
1,374
 [3]
Given Kudos: 425
Products:
Posts: 1,398
Kudos: 1,374
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
MartyMurray
Joined: 11 Aug 2023
Last visit: 24 Apr 2026
Posts: 1,848
Own Kudos:
7,110
 [1]
Given Kudos: 212
GMAT 1: 800 Q51 V51
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 800 Q51 V51
Posts: 1,848
Kudos: 7,110
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Three machines, working at the same constant rate, Alpha, Beta, and Gamma, started working together to complete a task in a certain number of days. However, the machines were turned off for a few days, causing the task to be completed 4 days later than originally planned. The first machine, Alpha, was turned off for 3 more days than Beta, and Beta was turned off for 3 more days than Gamma. How many days was Gamma turned off?

Each of the three machines works at the same rate, which we can call one day's work per day.

Days they need to complete the task working together: D

Total days of work three machines would do in D days: 3D

Days they took to complete the job: D + 4

Amount of work three machines would do in D + 4 days: 3(D + 4) = 3D + 12

That's an extra 12 days of work. So, they had to be off for a total of 12 days.

Gamma days off: G

Beta days off: G + 3

Alpha days off: G + 6

G + (G + 3) + (G + 6) = 3G + 9 = 12

G = 1

A. 1 day
B. 2 days
C. 3 days
D. 4 days
E. 5 days


Correct answer: A
User avatar
HarshavardhanR
Joined: 16 Mar 2023
Last visit: 24 Apr 2026
Posts: 489
Own Kudos:
Given Kudos: 67
Status:Independent GMAT Tutor
Affiliations: Ex - Director, Subject Matter Expertise at e-GMAT
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 489
Kudos: 576
Kudos
Add Kudos
Bookmarks
Bookmark this Post


- a: rate of work of the three machines
- d: originally planned number of days to complete the work
- d+4: Actual days taken by the three machines to complete the work
- x: number of days machine Gamma was OFF. This is what we need to find.
- x+3: number of days machine Beta was OFF.
- x+6: number of days machine Alpha was OFF.


In actuality, the time taken to complete the work was d+4 days.

Out of which,

- Machine Alpha was off for x+6 days. So, this machine worked for (d+4) - (x+6) = d-x-2 days.
- Machine Beta was off for x+3 days. So, this machine worked for (d+4) - (x+3) = d-x+1 days.
- Machine Gamma was off for x days. So, this machine worked for (d+4) - (x) = d-x+4 days.

---
Harsha
Attachment:
GMAT-Club-Forum-ylkoscaz.png
GMAT-Club-Forum-ylkoscaz.png [ 215 KiB | Viewed 340 times ]
Moderators:
Math Expert
109814 posts
Tuck School Moderator
853 posts