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50 men could complete a work in 200 days. They worked together for 150 days, after that due to bad weather the work is stopped for 25 days. How many more workers should be employed so as to complete the work in time?
- a)25
- b)35
- c)50
- d)60
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
50 men could complete a work in 200 days. They worked together for 150...
Let additional workers be P,
(50*150)/(50*200) = 3/4 of the work is already completed and now only 1/4 of the work is to be done. So,
1/4 = ((50 + P) * 25)/50*200, solve for p, we get P = 50
(50*150)/(50*200) = 3/4 of the work is already completed and now only 1/4 of the work is to be done. So,
1/4 = ((50 + P) * 25)/50*200, solve for p, we get P = 50
Most Upvoted Answer
50 men could complete a work in 200 days. They worked together for 150...
Let additional workers be P,
(50*150)/(50*200) = 3/4 of the work is already completed and now only 1/4 of the work is to be done. So,
1/4 = ((50 + P) * 25)/50*200, solve for p, we get P = 50
(50*150)/(50*200) = 3/4 of the work is already completed and now only 1/4 of the work is to be done. So,
1/4 = ((50 + P) * 25)/50*200, solve for p, we get P = 50
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50 men could complete a work in 200 days. They worked together for 150...
Given information:
- 50 men can complete the work in 200 days
- They worked together for 150 days
- Work was stopped for 25 days due to bad weather
To find:
- How many more workers should be employed to complete the work in time
Let's solve this step by step:
1. Find the total work:
Since 50 men can complete the work in 200 days, we can say that the work done by 50 men in 1 day is 1/200. Therefore, the total work can be calculated as:
Total work = (work done by 50 men in 1 day) * (total number of days)
Total work = (1/200) * 200
Total work = 1 unit
2. Find the work done in 150 days:
Since the work was done by 50 men in the first 150 days, the work done by them can be calculated as:
Work done by 50 men in 150 days = (work done by 50 men in 1 day) * (total number of days)
Work done by 50 men in 150 days = (1/200) * 150
Work done by 50 men in 150 days = 3/4 unit
3. Find the work left:
The work left after 150 days can be calculated as:
Work left = Total work - Work done in 150 days
Work left = 1 - 3/4
Work left = 1/4 unit
4. Find the number of additional workers needed:
Let's assume the number of additional workers needed is 'x'. Since the remaining work is 1/4 unit, the work done by 'x' additional workers in 25 days can be calculated as:
Work done by 'x' additional workers in 25 days = (work done by 'x' additional workers in 1 day) * (total number of days)
Work done by 'x' additional workers in 25 days = (x/200) * 25
Work done by 'x' additional workers in 25 days = x/8 unit
5. Equate the work done by additional workers to the remaining work:
Work done by 'x' additional workers in 25 days = Work left
x/8 = 1/4
4x = 8
x = 2
Therefore, 2 more workers should be employed to complete the work in time.
Hence, the correct answer is option C) 50.
- 50 men can complete the work in 200 days
- They worked together for 150 days
- Work was stopped for 25 days due to bad weather
To find:
- How many more workers should be employed to complete the work in time
Let's solve this step by step:
1. Find the total work:
Since 50 men can complete the work in 200 days, we can say that the work done by 50 men in 1 day is 1/200. Therefore, the total work can be calculated as:
Total work = (work done by 50 men in 1 day) * (total number of days)
Total work = (1/200) * 200
Total work = 1 unit
2. Find the work done in 150 days:
Since the work was done by 50 men in the first 150 days, the work done by them can be calculated as:
Work done by 50 men in 150 days = (work done by 50 men in 1 day) * (total number of days)
Work done by 50 men in 150 days = (1/200) * 150
Work done by 50 men in 150 days = 3/4 unit
3. Find the work left:
The work left after 150 days can be calculated as:
Work left = Total work - Work done in 150 days
Work left = 1 - 3/4
Work left = 1/4 unit
4. Find the number of additional workers needed:
Let's assume the number of additional workers needed is 'x'. Since the remaining work is 1/4 unit, the work done by 'x' additional workers in 25 days can be calculated as:
Work done by 'x' additional workers in 25 days = (work done by 'x' additional workers in 1 day) * (total number of days)
Work done by 'x' additional workers in 25 days = (x/200) * 25
Work done by 'x' additional workers in 25 days = x/8 unit
5. Equate the work done by additional workers to the remaining work:
Work done by 'x' additional workers in 25 days = Work left
x/8 = 1/4
4x = 8
x = 2
Therefore, 2 more workers should be employed to complete the work in time.
Hence, the correct answer is option C) 50.
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