A work crew of 3 people requires 3 weeks and 2 days to do a certain job. How long would it take a work crew of 4 people to do the same job if each person of both crews works at the same rate as each of the others. [Note: each week contains six work days]Thanks for the help!
Answers
It would take a work crew of 4 people approximately 5 days and 18 hours to complete the same job if each person in both crews works at the same rate as each other.
To solve this problem, we can start by calculating the total work done by the original work crew of 3 people in terms of "work-weeks." We know that they require 3 weeks and 2 days to complete the job.
1 week = 7 days
So, 3 weeks and 2 days can be converted to days as follows:
3 weeks + 2 days = 3 weeks + (2/7) weeks
≈ 3 weeks + 0.2857 weeks
≈ 3.2857 weeks
Now, we know that the original work crew of 3 people completes the job in 3.2857 work-weeks.
Next, we can calculate the amount of work done by each person of the original crew per work-week:
Work done by 1 person in 1 week = 1/3 of the total work (as there are 3 people)
Work done by 1 person in 1 work-week ≈ 1/3.2857
Now, we want to find out how much work a single person of the new work crew of 4 people can do in 1 work-week. Since each person in both crews works at the same rate, the work done per person per week will be the same.
Work done by 1 person in 1 work-week ≈ 1/3.2857 ≈ 0.3043
Now, we know that a single person from the new crew can complete approximately 0.3043 of the total job in one work-week.
Finally, we want to find out how long it will take for the new work crew of 4 people to complete the entire job. Let's denote the time in weeks as "x."
Total work done by the new crew of 4 people = 4 people * x weeks * 0.3043 work done per person in 1 week
Total work done by the new crew of 4 people = 1 job (as they will complete the entire job)
So, we have the equation:
4x * 0.3043 = 1
Now, solve for "x":
x ≈ 1 / (4 * 0.3043)
x ≈ 0.8225
Therefore, it would take a work crew of 4 people approximately 0.8225 weeks to do the same job. To convert this into days:
0.8225 weeks * 7 days/week ≈ 5.7575 days
So, it would take a work crew of 4 people approximately 5 days and 18 hours to complete the same job if each person in both crews works at the same rate as each other.
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20/3 * 4 = 26 & 2/3 days
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Hope this helps :)
#1
b.
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c.
#3
d.
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Angie <3 be the best you be different from the rest be inspired
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The horizontal axis on a graph typically refers to the x-axis. The title of this axis is usually situated near the bottom of the graph. The provided question does not include a visual reference, making it impossible to accurately determine which arrow (#1, #2, #3, or #4) is pointing to the horizontal axis title.
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Without a visual reference or context, it is not feasible to definitively identify which of the arrows (#1, #2, #3, or #4) is pointing to the horizontal axis title. In a Cartesian coordinate system used in mathematics, the horizontal axis typically refers to the x-axis, and the title of this axis typically provides information or labels what these x-values represent within the graph's context.
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