We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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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Thus total number of labor is 15.6
What is basic algebra ?
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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