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50 workers can complete a job in 6 days working 8 hours a day if 40 workers are employed to complete the job in 20 days then the number of hours they should be working per day is
- a)4
- b)8
- c)9
- d)3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
50 workers can complete a job in 6 days working 8 hours a day if 40 wo...
50 workers can complete a job in 6 days working 8 hours a day
40 workers can complete the job in 6 * 50 /40 days working 8 hours a day
40 workers can complete the job in 6 * 5/4 * 8/20 days working 20 hours a day = 3 days
Most Upvoted Answer
50 workers can complete a job in 6 days working 8 hours a day if 40 wo...
Given:
- 50 workers can complete a job in 6 days working 8 hours a day
- 40 workers are employed to complete the job in 20 days
To find:
- Number of hours they should be working per day
Let's assume the total work to be done is W.
Calculation:
- 50 workers can complete the job in 6 days, so the total work done is:
W = 50 * 6 * 8
W = 2400
- Now, we need to find out how many workers should be employed to complete the same work in 20 days.
Let's assume the number of workers required to complete the work in 20 days be x.
- Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
50 * 6 * 8 = x * 20 * E
where E is the efficiency of each worker.
- Simplifying, we get:
x = (50 * 6 * 8) / (20 * E)
x = 120 / E
- Now, we know that the total work done is 2400, and the number of workers required to complete the work in 20 days is x.
Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
x * 20 * E = 2400
- Substituting the value of x, we get:
(120 / E) * 20 * E = 2400
E = 2
- Now, we need to find out the number of hours the 40 workers should work per day to complete the work in 20 days.
Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
40 * 20 * 2 = 1600
- Total work done by the 40 workers in 20 days is 1600.
- To find out the number of hours they should work per day, we can use the formula:
Total hours worked = Total work done / (Number of workers * Number of days)
Total hours worked = 1600 / (40 * 20)
Total hours worked = 2
Therefore, the number of hours the 40 workers should work per day to complete the work in 20 days is 2 hours.
Hence, the correct answer is option D) 3.
- 50 workers can complete a job in 6 days working 8 hours a day
- 40 workers are employed to complete the job in 20 days
To find:
- Number of hours they should be working per day
Let's assume the total work to be done is W.
Calculation:
- 50 workers can complete the job in 6 days, so the total work done is:
W = 50 * 6 * 8
W = 2400
- Now, we need to find out how many workers should be employed to complete the same work in 20 days.
Let's assume the number of workers required to complete the work in 20 days be x.
- Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
50 * 6 * 8 = x * 20 * E
where E is the efficiency of each worker.
- Simplifying, we get:
x = (50 * 6 * 8) / (20 * E)
x = 120 / E
- Now, we know that the total work done is 2400, and the number of workers required to complete the work in 20 days is x.
Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
x * 20 * E = 2400
- Substituting the value of x, we get:
(120 / E) * 20 * E = 2400
E = 2
- Now, we need to find out the number of hours the 40 workers should work per day to complete the work in 20 days.
Using the formula:
Number of workers * Time taken * Efficiency = Constant Work
40 * 20 * 2 = 1600
- Total work done by the 40 workers in 20 days is 1600.
- To find out the number of hours they should work per day, we can use the formula:
Total hours worked = Total work done / (Number of workers * Number of days)
Total hours worked = 1600 / (40 * 20)
Total hours worked = 2
Therefore, the number of hours the 40 workers should work per day to complete the work in 20 days is 2 hours.
Hence, the correct answer is option D) 3.
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50 workers can complete a job in 6 days working 8 hours a day if 40 workers are employed to complete the job in 20 days then the number of hours they should be working per day isa)4b)8c)9d)3Correct answer is option 'D'. Can you explain this answer?
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