GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed : Two-part Analysis (TPA)

Last visit was: 25 Sep 2026, 16:21

It is currently 25 Sep 2026, 16:21

MaxFabianKirchner

Joined: 02 Jun 2025

Last visit: 12 Jul 2025

Posts: 65

Own Kudos:

[1]

Given Kudos: 122

Status:26' Applicant

Location: Denmark

Concentration: Finance, International Business

Schools: ESSEC MiF '26 ESADE HEC Imperial LBS Oxford MFE '26 Sloan (MIT) NYU Stern NUS Bocconi IE'26

GPA: 4.0

WE:Other (Student)

Schools: ESSEC MiF '26 ESADE HEC Imperial LBS Oxford MFE '26 Sloan (MIT) NYU Stern NUS Bocconi IE'26

Posts: 65

Kudos: 69

[1]

01 Jul 2025, 08:24

Kudos

Bookmarks

Step 1: Calculate total bottles filled in one minute (60 seconds).

* Total Small Bottles = 3 bottles/second * 60 seconds = 180.
* Total Large Bottles = (5 bottles / 6 seconds) * 60 seconds = 5 * 10 = 50.

Step 2: Divide the totals by the number of crates (10).

* Small bottles per crate = 180 / 10 = 18.
* Large bottles per crate = 50 / 10 = 5.

Thus, Small Bottles = 18 and Large Bottles = 5.

A_Nishith

Joined: 29 Aug 2023

Last visit: 31 Jul 2026

Posts: 448

Own Kudos:

210

[1]

Given Kudos: 16

Posts: 448

Kudos: 210

[1]

01 Jul 2025, 08:28

Kudos

Bookmarks

The machine runs for 1 minute = 60 seconds

It fills:

Small bottles at 3 per second
So in 60 seconds: 3×60=180 small bottles total.

Large bottles at 5 every 6 seconds
So in 60 seconds:
(60/6)×5 = 10×5 = 50 large bottles total.

The total bottles are packed into 10 crates, and each crate has the same number of small and large bottles.

So divide:
Small bottles per crate: 180/10 = 18
Large bottles per crate: 50/10 = 5

Final Answer:
Small Bottles per crate: 18
Large Bottles per crate: 5

Karanjotsingh

Joined: 18 Feb 2024

Last visit: 03 Oct 2025

Posts: 138

Own Kudos:

Given Kudos: 362

Location: India

Concentration: Finance, Entrepreneurship

Posts: 138

Kudos: 96

01 Jul 2025, 08:33

Kudos

Bookmarks

Correct Answer

Small Bottles: 18
Large Bottles: 5

imAman

Joined: 23 Mar 2025

Last visit: 23 Jul 2025

Posts: 5

Own Kudos:

[1]

Given Kudos: 1

Posts: 5

Kudos: 3

[1]

01 Jul 2025, 08:34

Kudos

Bookmarks

work done in 1 sec on small bottles = 3*1 = 3 units.
work done in 60 sec on small bottles = 3*60 = 180 units.

work done in 1 sec on large bottles = (5/6)*1 = 5/6
work done in 60 sec on large bottles = (5/6)*60 = 50 units.

so, no of small bottles in 1 crate = 180/10 = 18
no of large bottles in 1 crate = 50/10 = 5.

hence, ans is 18,5

Kanika2409

Joined: 19 Feb 2025

Last visit: 21 Sep 2026

Posts: 14

Own Kudos:

[1]

Given Kudos: 1

Posts: 14

Kudos: 11

[1]

01 Jul 2025, 08:39

Kudos

Bookmarks

Small bottles, 3 per sec
In one minute = 3*60=180
Divided in 10 crates so each crate has 180/10 =18 small bottles

Large bottles, 5 every 6 sec
In one minute = 5*10=50
Divided into 10 crates so each crate has 50/10=5 large bottles

ManifestDreamMBA

Joined: 17 Sep 2024

Last visit: 01 Jul 2026

Posts: 1,381

Own Kudos:

937

[1]

Given Kudos: 243

Posts: 1,381

Kudos: 937

[1]

01 Jul 2025, 08:44

Kudos

Bookmarks

	Small	large
Fill rate	3/s	5/6s
Bottles filled in a min	=3*60=180	=5/6*60=50
Bottles in each crate	=180/10=18	=50/10=5

Bunuel

This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

A water bottling machine is designed to fill two types of bottles—small and large—at the same time.

It fills small bottles at a constant rate of 3 per second and large bottles at a constant rate of 5 every 6 seconds.

In one minute of continuous operation at these rates, the machine fills small and large bottles that are packed into exactly 10 shipping crates, with each crate containing the same number of small bottles and the same number of large bottles.

Select for Small Bottles and Large Bottles the number of small and large bottles, respectively, in each shipping crate. Make only two selections, one in each column.

krutarth21

Joined: 28 May 2025

Last visit: 23 Feb 2026

Posts: 21

Own Kudos:

[1]

Given Kudos: 50

Location: India

Schools: ISB '26 (A$)

GMAT Focus 1: 675 Q88 V82 DI81 Verified score

GPA: 3.82

Schools: ISB '26 (A$)

GMAT Focus 1: 675 Q88 V82 DI81 Verified score

Posts: 21

Kudos: 13

[1]

01 Jul 2025, 08:45

Kudos

Bookmarks

Small bottle - 3 per second --> 60*3 = 180 in 1 minute.
Large bottle - 5 every 6 second --> in 1 second 5/6 bottle --> in 1 minute ((5/6) * 60) = 50 bottles.

10 crates --> 180/10 = 18 small bottles, 50/5 = 5 large bottles.

Harika2024

Joined: 27 Jul 2024

Last visit: 13 May 2026

Posts: 99

Own Kudos:

[1]

Given Kudos: 31

Location: India

Posts: 99

Kudos: 85

[1]

01 Jul 2025, 08:49

Kudos

Bookmarks

Lets consider conditions as following:
A) Calculate the number of small bottles filled in one minute:
Rate of small bottles: 3 bottles per second
Time: 1 minute = 60 seconds
Number of small bottles filled = 3 bottles/second * 60 seconds = 180 small bottles

B) Calculate the number of large bottles filled in one minute:
Rate of large bottles: 5 bottles every 6 seconds
Number of 6-second intervals in one minute = 60 seconds / 6 seconds/interval = 10 intervals
Number of large bottles filled = 5 bottles/interval * 10 intervals = 50 large bottles

C) Determine the number of small and large bottles per crate:
Total small bottles filled = 180
Total large bottles filled = 50
Number of shipping crates = 10

Number of small bottles per crate = Total small bottles / Number of crates = 180 / 10 = 18 small bottles per crate
Number of large bottles per crate = Total large bottles / Number of crates = 50 / 10 = 5 large bottles per crate

Therefore, Small Bottles (per crate): 18 and Large Bottles (per crate): 5

BeachStudy

Joined: 30 Jun 2025

Last visit: 18 Aug 2025

Posts: 61

Own Kudos:

Given Kudos: 4

Posts: 61

Kudos: 37

01 Jul 2025, 08:52

Kudos

Bookmarks

Types: Small and Large

Small- 3 per second (18 every 6 seconds)
Large - 5 every 6 seconds

10 shipping crates. same number of small and large. after 1 minute.

Small - 180 bottles for 1 minute
Large - 50 for 1 minute

10 crates. 50/10=5. 5 bottles each.

5 because they are the same.

Bunuel

This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

Kinshook

Major Poster

Joined: 03 Jun 2019

Last visit: 24 Sep 2026

Posts: 6,138

Own Kudos:

6,125

[1]

Given Kudos: 164

Location: India

Schools: HBS '28 CBS '26 Wharton '26

GMAT 1: 690 Q50 V34 Verified score

WE:Engineering (Transportation)

Products:

Schools: HBS '28 CBS '26 Wharton '26

GMAT 1: 690 Q50 V34 Verified score

Posts: 6,138

Kudos: 6,125

[1]

01 Jul 2025, 08:52

Kudos

Bookmarks

A water bottling machine is designed to fill two types of bottles—small and large—at the same time.

It fills small bottles at a constant rate of 3 per second and large bottles at a constant rate of 5 every 6 seconds.

In one minute of continuous operation at these rates, the machine fills small and large bottles that are packed into exactly 10 shipping crates, with each crate containing the same number of small bottles and the same number of large bottles.

Small bottles filled in 1 minute = 3*60 = 180 small bottles
Large bottles filled in 1 minute = 5*60/6 = 50 large bottles

Small bottles in each crate = 180/10 = 18
Large bottles in each crate = 50/10 = 5

Select for Small Bottles and Large Bottles the number of small and large bottles, respectively, in each shipping crate. Make only two selections, one in each column.

Small Bottles	Large Bottles
18	5

Heix

Joined: 21 Feb 2024

Last visit: 13 Jul 2026

Posts: 495

Own Kudos:

173

[1]

Given Kudos: 63

Location: India

Concentration: Finance, Entrepreneurship

Schools: Ross MM "26 NUS Columbia '27

GMAT Focus 1: 485 Q76 V74 DI77 Verified score

GPA: 3.4

WE:Accounting (Finance)

Products:

Schools: Ross MM "26 NUS Columbia '27

GMAT Focus 1: 485 Q76 V74 DI77 Verified score

Posts: 495

Kudos: 173

[1]

01 Jul 2025, 08:55

Kudos

Bookmarks

First, let's calculate how many small and large bottles are filled in one minute:
Small bottles: 3 bottles per second × 60 seconds = 180 small bottles
Large bottles: 5 bottles every 6 seconds
In 60 seconds, we have 60 ÷ 6 = 10 intervals of 6 seconds
So large bottles filled = 5 × 10 = 50 large bottles
Now, these bottles are packed into exactly 10 shipping crates, with each crate containing the same number of bottles:
Small bottles per crate = 180 ÷ 10 = 18 small bottles per crate
Large bottles per crate = 50 = 10 = 5 large bottles per crate
Therefore, each shipping crate contains 18 small bottles and 5 large bottles.

Ramya850

Joined: 23 Mar 2025

Last visit: 10 Jan 2026

Posts: 5

Own Kudos:

[1]

Given Kudos: 60

Location: India

Concentration: Entrepreneurship, Sustainability

GPA: 9.1

WE:Engineering (Telecommunications)

Posts: 5

Kudos: 4

[1]

01 Jul 2025, 08:57

Kudos

Bookmarks

small bottle speed -> 3 bottles/sec
In 1 minute, 60*3=180 small bottles are produced.
large bottle speed-> 5 bottles in 6 sec
In 1 minute, 50 large bottles are produced.

They should be fit in 10 shipping crates, with each crate containing the same number of small bottles and the same number of large bottles.
If equally divide b/w 10 crates,
small bottles =18*10 crates
large bottles=5*10 crates

Ans : 18 5

simondahlfors

Joined: 24 Jun 2025

Last visit: 23 Sep 2025

Posts: 48

Own Kudos:

[1]

Posts: 48

Kudos: 48

[1]

01 Jul 2025, 09:04

Kudos

Bookmarks

Information given:
- Machine fills small bottles at 3 per second
- Machine fills large bottles at 5 every 6 seconds
- It runs for 1 minute (60 seconds)
- Total small and large bottles are packed into exactly 10 crates, each crate has the same number of small and large bottles

Question:
- How many small and large bottles per crate?

Solution:
- First, calculate the total bottles produced
- Small bottles: 3 per sec * 60 sec = 180 bottles
- Large bottles: 5 every 6 sec: rate = 5/6 = 0.8333 per sec
- 0.8333 * 60 = 50 bottles
- In total, 180 small bottles and 50 large bottles are produced

- Since there are 10 crates, there will be 180/10 = 18 small bottles per crate and 50/10 = 5 large bottles per crate

Answer: small bottles 18 per crate, large bottles 5 per crate

Bunuel

This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

kvaishvik24

Joined: 31 Mar 2025

Last visit: 14 Aug 2026

Posts: 88

Own Kudos:

Given Kudos: 16

Posts: 88

Kudos: 65

01 Jul 2025, 09:04

Kudos

Bookmarks

We are given:

Small bottles:
3 per second so 3 × 60 = 180 per minute
Large bottles:
5 every 6 seconds so (60 ÷ 6) × 5 = 50 per minute

They fill 10 crates, each crate must contain the same number of each bottle:

Small per crate: 180 ÷ 10
= 18
Large per crate: 50 ÷ 10
= 5

Benedictng

Joined: 21 Jan 2025

Last visit: 10 Jul 2025

Posts: 18

Own Kudos:

[1]

Given Kudos: 1

Posts: 18

Kudos: 12

[1]

01 Jul 2025, 09:05

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

In 60 seconds, machine produces 3x60 = 180 small bottles and (5/6) x 60 = 50 large bottles.

Each container has equal large and small bottles.

Each container among 10 has 180/10 = 18 small bottles and 50/5 = 5 large bottles.

Meghna_Gupta

Joined: 01 May 2024

Last visit: 13 Feb 2026

Posts: 13

Own Kudos:

[1]

Given Kudos: 3

Posts: 13

Kudos: 8

[1]

01 Jul 2025, 09:10

Kudos

Bookmarks

Small bottles filled at constant rate of 3 per second, therefore in one minute, machine fills 180 small bottles.
Large bottles filled at constant rate of 5 every 6 seconds, therefore in one minute, machine filled 50 large bottles.
Now, we have been given that these small and large bottles are packed into exactly 10 crate with each crate having same number of small and large bottles, thus we have, 18 small bottles (180/10) and 5 large bottles (50/10) in each crate.

hope this helps

regards,

Emkicheru

Joined: 12 Sep 2023

Last visit: 12 Sep 2025

Posts: 119

Own Kudos:

[1]

Given Kudos: 11

Location: Kenya

Schools: Anderson (UCLA) Sloan (MIT) Columbia '27

GMAT 1: 780 Q50 V48 Verified score

GRE 1: Q167 V164 Verified score

GPA: 3.7

Schools: Anderson (UCLA) Sloan (MIT) Columbia '27

GMAT 1: 780 Q50 V48 Verified score

GRE 1: Q167 V164 Verified score

Posts: 119

Kudos: 22

[1]

01 Jul 2025, 09:10

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the GMAT Club Olympics Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

It can be seen that the number of small bottles in one minute is 3*60=180 but there are 10 crates implies 180/10=18 bottles for every crate, similarly for large bottles there are 5 for every 6 seconds in a minute it is 5*10=50 bottles ,but there are 10 crates implies 50/10=5 bottles for every crate.