Bunuel
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 = \(\frac{3 bottles }{sec}\)
Large bottles = \(\frac{5 bottles }{ 6 sec}\)
Total bottles filled in 1 minute
Small bottles = \(\frac{3 bottles }{ 1 sec} * 60 sec\) = 180
Large bottles = \(\frac{5 bottles }{ 6 sec} * 60 sec\) = 50
Total crates = 10
If each crate contains same number of large and small bottles then for each crate we have
Large bottles per crate = \(\frac{50}{10}\) = 5
Small bottles per crate = \(\frac{180}{10}\) = 18
Small Bottles = 18
Large Bottles = 5