Answer to Question #214922 in Algebra for ary

Question

a) how many hours needed to complete the filling process of 150 000 bottles of 1 mL

* speed: 2 bottles per second

b) how many staff needed at one time to complete the packing bottles inside carton within 24 hours

*speed: 1 carton = 10 bottles = 15 seconds

Answer 1

a) The machine caps 2 bottles per second.

$$1\ s=(1/3600)\ hr$$

$$(1/3600)\ hr \ \ -\ \ 2\ bottles$$

$$x\ hr \ \ -\ \ 150000\ bottles$$

$$x=\dfrac{\dfrac{1}{3600}\cdot150000}{2}\ hr=20\dfrac{5}{6}\ hr$$

b)

$$(15/3600)\ hr \ \ -\ \ 10\ bottles$$

$$x\ hr \ \ -\ \ 150000\ bottles$$

$$x=\dfrac{\dfrac{15}{3600}(150000)}{10}\ hr=62.5\ hr$$

$$2<62.5/24<3$$

3 staff needed at one time.