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A contractor undertakes to build a wall in 40 days. He employs 50 people for the same. However, after 20 days he finds that only 40% of the work is completed. How many more man need to be employed to complete the work in time?
- a)25
- b)30
- c)35
- d)20
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A contractor undertakes to build a wall in 40 days. He employs 50 peop...
According to the given information, 50 men completed 0.4 work in 20 days and (M + 50) men should complete the remaining 1 – 0.4 = 0.6 work in remaining time i.e. 40 – 20 = 20
Most Upvoted Answer
A contractor undertakes to build a wall in 40 days. He employs 50 peop...
Given:
- A contractor undertakes to build a wall in 40 days.
- He employs 50 people for the same.
- After 20 days, only 40% of the work is completed.
To find:
- How many more men need to be employed to complete the work in time.
Solution:
Let's assume that the total work required to build the wall is 100 units.
- So, 40% of the work completed in 20 days = 40 units
- Remaining work = 100 - 40 = 60 units
- Time left to complete the work = 40 - 20 = 20 days
Now, let's calculate the rate of work done by each person in a day (assuming that each person has the same efficiency):
- Total men employed = 50
- Work done by each person in a day = 100/ (50*40) = 1/200 units
- Work done by each person in 20 days = (1/200)*20 = 1/10 units
So, in 20 days, the work done by 50 men = (1/10)*50 = 5 units
Remaining work = 60 units
Work to be done in 20 days = 60 - 5 = 55 units
Now, let's calculate the number of men required to complete 55 units of work in 20 days:
- Work to be done by each person in a day = 55/(x*20), where x is the number of men required
- Work done by each person in a day = 1/200 units
- So, 55/(x*20) = 1/200
- Solving this equation, we get x = 75
Therefore, the number of men needed to complete the work in time = 75 - 50 = 25
Hence, option A is the correct answer.
- A contractor undertakes to build a wall in 40 days.
- He employs 50 people for the same.
- After 20 days, only 40% of the work is completed.
To find:
- How many more men need to be employed to complete the work in time.
Solution:
Let's assume that the total work required to build the wall is 100 units.
- So, 40% of the work completed in 20 days = 40 units
- Remaining work = 100 - 40 = 60 units
- Time left to complete the work = 40 - 20 = 20 days
Now, let's calculate the rate of work done by each person in a day (assuming that each person has the same efficiency):
- Total men employed = 50
- Work done by each person in a day = 100/ (50*40) = 1/200 units
- Work done by each person in 20 days = (1/200)*20 = 1/10 units
So, in 20 days, the work done by 50 men = (1/10)*50 = 5 units
Remaining work = 60 units
Work to be done in 20 days = 60 - 5 = 55 units
Now, let's calculate the number of men required to complete 55 units of work in 20 days:
- Work to be done by each person in a day = 55/(x*20), where x is the number of men required
- Work done by each person in a day = 1/200 units
- So, 55/(x*20) = 1/200
- Solving this equation, we get x = 75
Therefore, the number of men needed to complete the work in time = 75 - 50 = 25
Hence, option A is the correct answer.
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A contractor undertakes to build a wall in 40 days. He employs 50 people for the same. However, after 20 days he finds that only 40% of the work is completed. How many more man need to be employed to complete the work in time?a)25b)30c)35d)20Correct answer is option 'A'. Can you explain this answer?
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