A project is budgeted for 1200 hours and will last 4 weeks. A laborer covered 30% of the workload in the first two weeks and then covered 60% in the final two weeks. If a laborer normally works 50 hours per week, how many total hours will the laborer cover?

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. Basic algebraic expressions like 2x + 4 = 8 are created by performing operations on variables and constants, such as addition, subtraction, multiplication, and division. These algebraic expressions serve as the mathematical statements.

1 st week:

30% of 1200 hour = 360 hour

1 labor = 50 hour

y =360 hour

y= [tex]\frac{360}{50}[/tex]=7.2 technicians

Final two weeks : 2nd and 3rd week

50% of (1200hr - 360hr)= 50% of 840hr=420hr

1 labor = 50 hr

2 labor = 100hr

x = 420 hr

x = 420×[tex]\frac{2}{100} =\frac{420}{50}[/tex]

=8.4 technicians

Thus total number of labor = x+y

= 7.2 +8.4

=15.6

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NikolinaDobreva NikolinaDobreva · Answer 2 · 2024-10-02T05:05:01-04:00

Final answer:

The laborer will cover 1080 hours for the entire project that is budgeted for 1200 hours over 4 weeks.

Explanation:

The project is budgeted for 1200 hours over 4 weeks. A laborer covers 30% of the workload in the first two weeks, which equates to 0.3 * 1200 = 360 hours. In the final two weeks, the laborer covers 60% of the workload, amounting to 0.6 * 1200 = 720 hours. So, the total hours that the laborer will cover in the entire period is 360 (first two weeks) + 720 (last two weeks) = 1080 hours.

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