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A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?
Correct answer is '40'. Can you explain this answer?
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A building is to be completed within 40 days. 40 workers started the w...
Let the no. of additional workers be x.
Work done (in man-hrs) = No. of workers * No. of days * Rate of working (in hrs)
Since 40% of the work has been completed in 25 days, the project can be completed on schedule (i.e. in 40 days) by doing the remaining 60% work in only 15 days.
Work done (in man-hrs) = No. of workers * No. of days * Rate of working (in hrs)
Since 40% of the work has been completed in 25 days, the project can be completed on schedule (i.e. in 40 days) by doing the remaining 60% work in only 15 days.
Therefore, 40 additional workers are needed. Answer: 40
Most Upvoted Answer
A building is to be completed within 40 days. 40 workers started the w...
Analysis:
To solve this problem, we need to find the number of additional workers required to complete the work on time. We are given the following information:
- The building needs to be completed within 40 days.
- Initially, there are 40 workers, each working 8 hours a day.
- After 25 days, 40% of the work is completed.
Solution:
Step 1: Calculate the total work:
Since 40% of the work is completed after 25 days, we can assume that the remaining 60% of the work needs to be completed in the remaining 15 days.
Therefore, the total work can be calculated as follows:
Total work = (100/40) * 15 = 37.5 units
Step 2: Calculate the work done by each worker:
Initially, there are 40 workers, each working 8 hours a day. So, the work done by each worker in a day can be calculated as follows:
Work done by each worker in a day = (1/40) * 8 = 0.2 units
Step 3: Calculate the total work done by all workers:
The total work done by all workers in 25 days can be calculated as follows:
Total work done by all workers in 25 days = (40 * 0.2) * 25 = 200 units
Step 4: Calculate the remaining work:
The remaining work can be calculated as follows:
Remaining work = Total work - Total work done by all workers in 25 days
= 37.5 - 200
= -162.5 units
The negative value indicates that the work is not completed within the given 25 days.
Step 5: Calculate the additional workers required:
To complete the remaining work within the remaining 15 days, we need to calculate the number of additional workers required. Let's assume the number of additional workers required is 'x'.
The work done by each worker in a day, when each worker works for 10 hours, can be calculated as follows:
Work done by each worker in a day = (1/40) * 10 = 0.25 units
The total work done by all workers in 15 days can be calculated as follows:
Total work done by all workers in 15 days = (40 + x) * 0.25 * 15
Since the total work should be equal to 37.5 units, we can equate the two expressions and solve for 'x':
(40 + x) * 0.25 * 15 = 37.5
10 + 0.25x = 37.5
0.25x = 27.5
x = 27.5 / 0.25
x = 110
Therefore, we need to add 110 additional workers to the existing workforce of 40 workers to complete the work on time with each worker working for 10 hours a day.
Step 6: Calculate the total number of workers:
To find the total number of workers required, we add the initial number of workers (40) to the number of additional workers required (110):
Total number of workers =
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A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer?
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