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“ A contractor employed 30 men to do a piece of work in 38 days”, isn’t it assumed that they would need 38 days to complete the work? Am I reading this wrongly..?
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“ A contractor employed 30 men to do a piece of work in 38 days”, isn’t it assumed that they would need 38 days to complete the work? Am I reading this wrongly..?

The intended meaning is that the contractor planned to complete the job in 38 days by employing 30 men. However, after 25 days, realizing that the task couldn't be completed in the remaining time with the original workforce, he decided to hire an additional 5 men to meet the deadline.
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initial situation:
30 man work for 38 days should finish the job

the plan is not correct, the contractor hire 5 more people after 25 days and finish the work one day early, or 37 days (it would take 38).
can't we just say that adding 5 man for 12 days (from the 25th day to the 37th) decreases the number of days needed to finish the work by one, thus without those man for 12 days, the amount of time it would take more would be 1 day?

does it make sense? i feel it does not lol
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Finding total work using the given information,

\(TW_{Actual} = 30 \times 25 + (30 + 5) \times (37 - 25) = 30 \times 25 + 35 \times 12 = 750 + 420 = 1170\)

If no new mens were added then the total work is,

\(TW_{Initial} = 30 \times 38 = 1140\)

Therefore, remaing part of the work, \( TW_{Actual} - TW_{Initial} = 1170 - 1140 = 30\) which needed to completed by \(30\) mens in \(\dfrac{30}{30} = 1\) additonal day.

ANS A
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I tried applying the same approach while solving but I think the first sentence has to be only an initial situation..lol.
pierjoejoe
initial situation:
30 man work for 38 days should finish the job

the plan is not correct, the contractor hire 5 more people after 25 days and finish the work one day early, or 37 days (it would take 38).
can't we just say that adding 5 man for 12 days (from the 25th day to the 37th) decreases the number of days needed to finish the work by one, thus without those man for 12 days, the amount of time it would take more would be 1 day?

does it make sense? i feel it does not lol
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Let rate of work of each man be x

As, \(R * T = W\)

Total Work = \(25 * 30x + 12 * 35x = 1170x\)

Now, if we continued work at 30x, total time taken would be \(\frac{1170x }{ 30x} = 39\) days i.e. 1 more day than the target

Answer A.
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