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01 Jul 2025, 08:00
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Small Bottles: 18
Large Bottles: 5
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
77% (01:55) correct
23%
(02:11)
wrong
based on 805
sessions
History
Date
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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.
| Small Bottles | Large Bottles | |
| 3 | ||
| 5 | ||
| 18 | ||
| 50 | ||
| 90 | ||
| 180 |
ShowHide Answer
Official Answer
Small Bottles: 18
Large Bottles: 5
01 Jul 2025, 08:30
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Bunuel
GMAT Club Official Explanation:
Step 1: Calculate how many bottles are filled in one minute
Small bottles:
The rate is 3 per second.
In one minute, that is 3 * 60 = 180 small bottles.
Large bottles:
The rate is 5 every 6 seconds.
In one minute, 60/6 = 10 such intervals.
So, 5 * 10 = 50 large bottles.
Step 2: Distribute bottles into 10 crates
Each crate contains:
180 / 10 = 18 small bottles
50 / 10 = 5 large bottles
Final Answer:
Small Bottles = 18
Large Bottles = 5
General Discussion
01 Jul 2025, 08:07
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Rates:
Small : 3 bottles / 1 second
Large : 5 bottles / 6 seconds
1 minute = 60 seconds.
Total production:
Small = 60 seconds * 3 bottles / 1 second = 60 * 3 bottles = 180 bottles
Large = 60 seconds * 5 bottles / 6 seconds = 10 * 5 bottles = 50 bottles
Equally dividing the bottles in 10 packs let us with, for each pack: 18 Smalls and 5 Large bottles.
Small : 3 bottles / 1 second
Large : 5 bottles / 6 seconds
1 minute = 60 seconds.
Total production:
Small = 60 seconds * 3 bottles / 1 second = 60 * 3 bottles = 180 bottles
Large = 60 seconds * 5 bottles / 6 seconds = 10 * 5 bottles = 50 bottles
Equally dividing the bottles in 10 packs let us with, for each pack: 18 Smalls and 5 Large bottles.
