Ano: 2024 Banca: Instituto Consulplan Órgão: Câmara de Poços de Caldas - MG Provas: Instituto Consulplan - 2024 - Câmara de Poços de Caldas - MG - Analista Legislativo Contador
Giovana runs a beauty products factory that serves several cities in the state. After an effective marketing campaign, she has received a large order which must be delivered in 26 days. Consider that all the employees work at an equal production rate. Over a period of 10 days, 10 employees managed to produce 1/3 of the demand by working 8 hours a day. Concerned about the deadline, Giovana added 10 employees to produce the remaining part of the job. What should the new daily workload be so that the order is completed by the correct date?
Translated with DeepL.com (free version)
Here, to start with, 1/3 of the demand has already been produced, so I'll calculate 2/3 and for the remaining days, since I have a deadline of 26 days but 10 have already been consumed.
1) Setting up the first equation:
10dd x 8h x 20workers = 1/3 ->(1/3 of the demand)
2) setting up the second equation:
For the job there are 26 days but 10 days have been consumed so there are 16 days left,
How many hours is what I want to find out: X
The number of employees is the original plus the extra 10 plus 10 giving 20,
3) Doing a rule of 3, it could also be a comparison because one is 1/3 and the other is 2/3 so one is double the other, but rule of 3 is easier.
on the left I'll have 10dd x 8h x 10 employees over -> 16dd x Xh x 20 employees
and on the right I have 1/3 over 2/3.
If I cross them out to make an equation, we'll get:
(2/3)x10x8x10 = (1/3)x16x X x 20 -> X = 5 hours
Rute Bezerra de Menezes Gondim
No comments:
Post a Comment