If 20 men or 24 women or 40 boys can do a job in 12 days working for 8...
Amount of work done by 20 men = 24 women = 40 boys
or amount of work done by 1 man = 1.2 women = 2 boys.
The man hours required to complete the new task = 4 times the man hours required to complete the old task. (As the new task is 4 times as big as the old task)
So, the new task is 20 x 12 x 8 x 4 men hours task.
Let 'n' be the number of men required to complete the new task.
Equating the men hours of task, we get 20 x 12 x 8 x 4 = n x 5 x 12. Or n = 128.
The new task will require 128 men, if only men worked on the task to complete it.
However, the problem states that 6 women and 2 boys are working on the job.
6 women are the equivalent of 6/1.2 = 5 men and 2 boys = 1 man.
i.e., the equivalent of 5 + 1 = 6 men are already working on the project.
Therefore, 122 more men are required to work with 6 women and 2 boys to complete the task.
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If 20 men or 24 women or 40 boys can do a job in 12 days working for 8...
Given:
- 20 men can do a job in 12 days working for 8 hours a day.
- 24 women can do the same job in 12 days working for 8 hours a day.
- 40 boys can do the same job in 12 days working for 8 hours a day.
- We need to find how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days.
Approach:
- Find the total work done by 20 men or 24 women or 40 boys in 1 hour.
- Find the total work done by 20 men or 24 women or 40 boys in 5 hours.
- Find the total work done by 20 men or 24 women or 40 boys in 12 days working for 8 hours a day.
- Find the total work done by 1 man or 1 woman or 1 boy in 1 hour.
- Find the total work done by 1 man or 1 woman or 1 boy in 5 hours.
- Find the total work done by 1 man or 1 woman or 1 boy in 12 days working for 8 hours a day.
- Find the total work done by 1 man, 1 woman, and 1 boy in 1 hour.
- Find the total work done by 1 man, 1 woman, and 1 boy in 5 hours.
- Find the total work done by 1 man, 1 woman, and 1 boy in 12 days working for 8 hours a day.
- Find the total work done by 8 men, 6 women, and 2 boys in 1 hour.
- Find the total work done by 8 men, 6 women, and 2 boys in 5 hours.
- Find the total work done by 8 men, 6 women, and 2 boys in 12 days working for 5 hours a day.
- Divide the total work required by the total work done by 8 men, 6 women, and 2 boys in 12 days working for 5 hours a day.
Calculation:
- Total work done by 20 men in 1 hour = 1/240 (1/12 * 20)
- Total work done by 24 women in 1 hour = 1/288 (1/12 * 24)
- Total work done by 40 boys in 1 hour = 1/192 (1/12 * 40)
- Total work done by 20 men in 5 hours = 1/48 (5 * 1/240)
- Total work done by 24 women in 5 hours = 1/57.6 (5 * 1/288)
- Total work done by 40 boys in 5 hours = 1/38.4 (5 * 1/192)
- Total work done by 20 men in 12 days working for 8 hours a day = 1
- Total work done by 24 women in 12 days working for 8 hours a day = 1
- Total work done by 40 boys in 12 days working for 8 hours a day = 1
- Total work done by 1 man in 1 hour = 1/480 (1/20 *
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