I28-37

Question

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.

Bunuel · Answer

Official Solution:

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

Correct answer:

Small Bottles  "18"

Large Bottles  "5"

similiquevero · Answer

This is a very poorly worded question. "  each crate containing the same number of small bottles and the same number of large bottles" heavily implies that each crate has equal number of small and large bottles, for eg 5 small and 5 large

Bunuel · Answer

Your reading is not correct. The line says “the same number of small bottles and the same number of large bottles.” The phrase “same number of” is applied separately to small and to large, so it means every crate has uniform counts across crates for each type. If the intent were equal counts within a crate, it would say “an equal number of small and large bottles in each crate.”

I28-37

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