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555-605 (Medium)|   Math Related|         
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:47
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Small bottles:
1sec= 3 bottles
6 sec=18
60sec=180

per crate=180/10=18

large bottles:

6sec=5 bottles
60 sec=50

per crate= 50/10 =5

Ans 18 & 5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:47
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SB = 3/sec

in 60 seconds 180 SB are filled

LB = 5 every 6 seconds

in 60 seconds 50 LB are filled

there are total 10 crates containing same number of SB and LB

therefore there will be 18 SB & 5LB in each crate.
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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:51
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In one minute,

1. Number of small bottles filled = Rate of small bottles X time taken => 3 per second X 60 seconds = 180 small bottles
2. Number of large bottles filled = Rate of large bottles X time taken => 5 per 6 seconds X 60 seconds = 50 large bottles

Now, these are packed in 10 crates with equal number of small bottles and equal number of large bottles in every crate. Meaning there are 18 small and 5 large bottles in every crate.
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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:52
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So there are two types of bottles, Small and Large

For the small bottle, the rate is 3 per second, which means 3 bottles are being filled every second
For the large bottle, the rate if 5 bottles every 6 seconds, which means \(\frac{5}{6}\) bottles every second

Further, it is given that after 1 minute of filling these bottles simultaneously at the rates mentioned above, the machine packs them in 10 crates, and each crate has an equal number of small bottles across all crates, and an equal number of large bottles across all crates

So let's find out that in 1 minute how many bottles were actually fllled,

We get that by \((rate)*(time)\)

For small bottles, we have rate as 3 b/s and time as 60 seconds, giving us 180 bottles
For the large bottles, we have rate as \(\frac{5}{6}\) b/s and time as 60 seconds, giving us 50 bottles

Now that we have 180 small, and 50 large bottles, we can find out how many bottles are there per crate,

Since we have 10 crates and a total of 230 bottles, each crate gets 23 bottles
Or simply put, the 180 small bottles in 10 crates, will give us 18 bottles in each crate; and similarly for large bottles we will have 5 of them in each crate

Thus, the answer becomes:

Small bottles: 18
Large bottles: 5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:57
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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.
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Small Bottle : In 1 second the machine fills 3 bottles ; In 1 minute the machine fills 3 * 60 = 180 bottles

Large Bottle : In 1 second the machine 5/6 bottles ; In 1 minute the machine fills 5/6 * 60 = 50 bottles

As the number of crates = 10; each crate consists of 18 small bottles and 5 large bottles.

Answer:

Small Bottles = 18
Large Bottles = 5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 09:58
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The machine runs for 1 minute, which is 60 seconds.

- It fills 3 small bottles every second, so in 60 seconds it fills
3 × 60 = 180 small bottles

- It fills 5 large bottles every 6 seconds, so in 60 seconds it fills
5 × 10 = 50 large bottles

bottles are packed into 10 crates, all with the same number of small and large bottles.
So by dividing:

- 180 small / 10 = 18 small bottles per crate
- 50 large / 10 = 5 large bottles per crate
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:08
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Answer Choice:
Small bottle: 18 units / crate
Large bottle: 5 units / crate

1 minute = 60 s
Small bottle rate: 3 units / s. Therefore, in 1 min, we have: 3 * 60 = 180 units
Large bottle rate: 5 units / 6 s. Therefore, in 1 min, we have: 5 * 10 = 50 units

10 shipping crates, with same number of Small and Large bottles:
Small bottles / crate = 180 units / 10 crates = 18 units / crate
Large bottles / crate = 50 units / 10 crates = 5 units / crate
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:08
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IMO should be 18 and 5

Small bottles produced = 3*60=180
Large bottles produced = 60*5/6=50

Equal distribution in 10 crates = 180/10=18(small bottles)
= 50/10=5(Large bottles)
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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:14
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First, total small bottles are 60*3=180
Large bottles are 60*5/6=50

(180,50) split equally into 10 baskets
That's (18,5)(18,5)....
SMALL=18
LARGE=5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:15
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Small bottles (S) => 3 bottles/sec
Large Bottles (L) => 5/6 bottles / sec

10 Crates (C)
Each C : x S + y L

Time: 60 seconds

Total S = 3 * 60 = 180
Total L = 5/6 * 60 = 50

Each C => S = 180/10 = 18 , L = 50/10 = 5

Ans.
S = 18
L = 5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:16
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Small bottles = 18, Large bottles = 5

Given that Rate for Small bottles = 3 per sec
Rate for Large bottles = 5 per 6 sec
Hence total Small bottles in 1 minute (60 seconds) is 3 * 60 = 180 and Large bottles = 5/6 * 60 = 50
By distributing these numbers in 10 bottles equally,
Small bottles = 180/10 = 18
Large bottles = 50/10 = 5
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:17
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Bunuel
 


This question was provided by GMAT Club
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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.
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Rate of small bottling machine = 3 bottles / sec
Rate of large bottling machine = 5/6 bottle / sec

In one minute

Number of small bottles produced = 180
Number of large bottle produced = 50

As there are 10 carats, these bottles must be uniformly distributed.

Number of small bottles = 50/10 = 5
Number of large bottles = 180/10 = 18

Small Bottles = 5
Large Bottles = 18
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:18
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The number of small bottles produced in 1 min = 180
The number of large bottles produced in 1 min = 50

Total there are 10 crates which have equal number of small and large bottles so each crate will have 18 small bottles and 5 large bottles
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:18
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18 small, 5 large. In 1 minute, 180 small bottles and 50 large bottles are filled. I divided this by 10 crates to get my answer

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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:27
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In 1 minute i.e 60 seconds, 10 crates are filled. Hence each crate is filled in 6 seconds.
Lets assume first crate only has large bottles and second has only small. Hence the first 2 crates have equal number of large and small bottles
Therefore in 6secs we get 5 large bottles and in 6secs we get 18 small bottles.
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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:29
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Bunuel
 


This question was provided by GMAT Club
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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.
Show more
We know that rate of small bottle is 3/s , large is (5/6)/s.

So in 1 min, i.e, 60s It produces 180 small and 50 large bottles.

So each carter contains 18 small, 5 large.

IMO 18 small, 5 large.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:35
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Bottle type Rate Time - 1 minute/60 seconds
Small 3 per second 3 * 60= 180
Large5 per 6 seconds 5 * 60/6 = 50

Therefore, small bottles- 180/10=18 and large bottles- 50/10-5


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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.
Show more
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:38
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R(small)= 3/second
R(Large)=5/6 second

In 60 seconds (1 Minute), we will have 180 Small and 50 Large bottles
Dividing them in 10 crates, with equal quantity in each crate , we will have 18 small bottles and 5 large bottles per crate.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:40
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sm = 3 [b/s]
lm = 5/6 [b/s]

In one minute:

SM = 3 * 60 = 180 bottles
LM = 5/6 * 60 = 50 bottles

Same amount in every box, so divide by 10:

SM/box = 180/10 = 18 bottles
LM/box = 50/10 = 5 bottles
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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.
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GMAT Club Olympics 2025 (Day 2): A water bottling machine is designed 01 Jul 2025, 10:56
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Machine filling: [Small] 3 / sec, [Large] 5 / 6sec <=> [Small] 180 / min, [Large] 50 / min
After a minitue (180 Small + 50 Large) => divided into 10 crates. So each crate will have
180/10 = 18 small and
50/10 = 5 large

Answer: Small 18, Large 5
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