Five editors finish a project in 3 1/2 weeks. How many editors are needed to complete the same project in 1 1/6 weeks?
1 1/6 is 1/3 of 3 1/2
so, to do the job in 1/3 the time, we need 3 times the editors, or 15
Or, since the amount of work is constant,
(3 1/2)(5) = (1 1/6)(x)
x = 15
To find out how many editors are needed to complete the same project in 1 1/6 weeks, we can use the concept of "man-weeks."
Let's first calculate the number of man-weeks required to complete the project in 3 1/2 weeks with five editors:
Man-weeks = Number of weeks * Number of editors
Man-weeks = 3 1/2 * 5 editors
To perform the calculation, let's convert the 3 1/2 weeks into an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Man-weeks = (7/2) * 5 editors
Man-weeks = (7 * 5) / 2
Man-weeks = 35/2
Man-weeks = 17.5
So, it takes 17.5 man-weeks to complete the project in 3 1/2 weeks with five editors.
Now, let's find out how many editors are required to complete the project in 1 1/6 weeks.
Number of editors = Man-weeks / Number of weeks
Number of editors = 17.5 / 1 1/6
To perform the calculation, let's convert the 1 1/6 weeks into an improper fraction:
1 1/6 = (1 * 6 + 1) / 6 = 7/6
Number of editors = 17.5 / (7/6)
Number of editors = 17.5 * (6/7)
Number of editors ≈ 15
Therefore, approximately 15 editors would be needed to complete the same project in 1 1/6 weeks.
To find out how many editors are needed to complete the project in 1 1/6 weeks, we can use the concept of "man-hours."
Let's first calculate the amount of work done by the five editors in 3 1/2 weeks.
If five editors completed the project in 3 1/2 weeks, the total number of man-hours spent on the project can be calculated by multiplying the number of editors by the number of weeks:
5 editors * 3.5 weeks = 17.5 man-weeks
Now, let's find the number of man-hours needed to complete the project in 1 1/6 weeks.
The number of man-weeks needed can be calculated by dividing the total number of man-hours by the number of weeks:
17.5 man-weeks / 1.1667 weeks = 15 man-weeks (rounded to the nearest whole number)
Since we know that there are 24 hours in a day, we can calculate the number of editors needed by dividing the total number of man-weeks by the number of weeks and multiplying it by the number of days in a week:
15 man-weeks / 1.1667 weeks * (7 days/week) = 90 editors
Therefore, approximately 90 editors would be needed to complete the project in 1 1/6 weeks.