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Problem from the statistics class

Posted November 19th, 2007 by Anonymous
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We have two machines for filling bottles.The modern machine fills 50.000 bottles/hour ,while the old machine only 30.000 bottles/hour.
How many bottles are filled in average/hour,if the modern machine has filled 300.000 bottles and the old machine has field 150.000 bottles?

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Answer

On November 19th, 2007 Maria.Nichifor says:
$$\frac{3}{\frac{1}{50 000}+\frac{1}{50 000}+\frac{1}{30 000}}=\frac{450 000}{11}=40 909.09 \frac{bottles}{hour} $$

(in average)

450.000=300.000+150.000(production of bottles made by the modern machine +production of bottles made by the old machine)
$ 11=\frac{300000}{50000}+\frac{150000}{30000}=6+5 $(working hours for modern machine+working hours for old machine to fill bottles)

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