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A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the remaining job, if 6 men leave after working for 6 days?
  • a)
    3
  • b)
    6
  • c)
    12
  • d)
    24
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A job can be completed by 12 men in 12 days. How many extra days will...
Work done by one man in 1 day
=1 / 12×12 Work done by 12 men in 6 days = 1/2 Remaining work = 1−(1/2) = 1/2 After 6 men leave the work, time taken to complete the remaining work = Remaining Work/Remaining Men
∴ Time taken
= 12 × 12 / 6 × 2 =12days
So,
so the extra time taken =12 - 6 = 6 days
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Most Upvoted Answer
A job can be completed by 12 men in 12 days. How many extra days will...
Given:

- 12 men can complete a job in 12 days.
- 6 men left after 6 days.

To find:

- How many extra days will be needed to complete the remaining job?

Solution:

Let's assume that the total work is represented by the variable 'W'.

We know that 12 men can complete the job in 12 days, which means:

- 1 man can complete the job in 12 x 12 = 144 days (since he will be working alone)
- Therefore, the work done by 1 man in 1 day = W/144

Now, let's calculate the work done by 12 men in 6 days:

- Work done by 1 man in 1 day = W/144
- Work done by 12 men in 1 day = 12 x (W/144) = W/12
- Work done by 12 men in 6 days = (W/12) x 6 = W/2

So, after 6 days, 6 men leave, which means that only 6 men are left to complete the remaining work. Let's assume that they take 'x' extra days to complete the remaining work.

- Work done by 1 man in 1 day = W/144
- Work done by 6 men in 1 day = 6 x (W/144) = W/24
- Work done by 6 men in 'x' days = (W/24) x 'x' = Wx/24

Now, the total work done by 12 men and 6 men is equal to the total work:

- Work done by 12 men in 6 days + Work done by 6 men in 'x' days = W
- W/2 + Wx/24 = W
- 12W/24 + Wx/24 = W
- W(12 + x)/24 = W
- (12 + x)/24 = 1
- 12 + x = 24
- x = 12

Therefore, the extra days needed to complete the remaining work is 12 days.

Answer: Option B
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A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the remaining job, if 6 men leave after working for 6 days?a)3b)6c)12d)24Correct answer is option 'B'. Can you explain this answer?
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