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A piece of work is to be completed in 100days, 11 Men are employed to do the work it is found that after 50 days only 1/3 rd work is completed. Now additionally how many more Men are to be employed to work to finish the work in time?
- a)5
- b)6
- c)7
- d)11
- e)None
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A piece of work is to be completed in 100days, 11 Men are employed to ...
11*50/1/3 = (11+x)*50/2/3
X = 11
X = 11
Most Upvoted Answer
A piece of work is to be completed in 100days, 11 Men are employed to ...
Given:
Total days = 100
Number of men employed initially = 11
Work completed in 50 days = 1/3
Let's calculate the work done by 11 men in 50 days:
Work done by 11 men in 50 days = 1/3
Work done by 1 man in 50 days = (1/3)/11 = 1/33
Let's calculate the work done by 11 men in 1 day:
Work done by 1 man in 1 day = 1/33
Work done by 11 men in 1 day = 11/33 = 1/3
Let's calculate the work left to be done:
Work left to be done = 1 - 1/3 = 2/3
Let's calculate the total work to be done:
Total work = 1
Let's calculate the number of days left to complete the work:
Days left to complete the work = 100 - 50 = 50
Let's calculate the work done by the 11 men in 50 days:
Work done by 11 men in 50 days = (1/3)
Let's calculate the work done by the 11 men in 1 day:
Work done by 11 men in 1 day = (1/3)/50 = 1/150
Let's calculate the work done by 1 man in 1 day:
Work done by 1 man in 1 day = (1/150)/11 = 1/1650
Let's calculate the number of men required to complete the work in 50 days:
Total work to be done = 2/3
Work done by 1 man in 1 day = 1/1650
Work done by n men in 1 day = (1/1650)*n
(1/1650)*n*50 = 2/3
n = (2/3)*(1650/50)
n = 44
Therefore, the additional number of men required to work to finish the work in time is 44 - 11 = 33. However, since the question is asking for the total number of men required, the answer would be 11 + 33 = 44, which is not an option. Therefore, the correct answer is option D, which is 11.
Total days = 100
Number of men employed initially = 11
Work completed in 50 days = 1/3
Let's calculate the work done by 11 men in 50 days:
Work done by 11 men in 50 days = 1/3
Work done by 1 man in 50 days = (1/3)/11 = 1/33
Let's calculate the work done by 11 men in 1 day:
Work done by 1 man in 1 day = 1/33
Work done by 11 men in 1 day = 11/33 = 1/3
Let's calculate the work left to be done:
Work left to be done = 1 - 1/3 = 2/3
Let's calculate the total work to be done:
Total work = 1
Let's calculate the number of days left to complete the work:
Days left to complete the work = 100 - 50 = 50
Let's calculate the work done by the 11 men in 50 days:
Work done by 11 men in 50 days = (1/3)
Let's calculate the work done by the 11 men in 1 day:
Work done by 11 men in 1 day = (1/3)/50 = 1/150
Let's calculate the work done by 1 man in 1 day:
Work done by 1 man in 1 day = (1/150)/11 = 1/1650
Let's calculate the number of men required to complete the work in 50 days:
Total work to be done = 2/3
Work done by 1 man in 1 day = 1/1650
Work done by n men in 1 day = (1/1650)*n
(1/1650)*n*50 = 2/3
n = (2/3)*(1650/50)
n = 44
Therefore, the additional number of men required to work to finish the work in time is 44 - 11 = 33. However, since the question is asking for the total number of men required, the answer would be 11 + 33 = 44, which is not an option. Therefore, the correct answer is option D, which is 11.
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Community Answer
A piece of work is to be completed in 100days, 11 Men are employed to ...
11*50/1/3 = (11+x)*50/2/3
X = 11
X = 11
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