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A contractor undertakes to complete a work in 19 weeks. He employs 180 men for 7 weeks and they complete 1/2 of the work. He then reduces the number of men to 140, who work for 5 weeks. How many men must be employed for the remaining period to finish the work?
  • a)
    96
  • b)
    80
  • c)
    84
  • d)
    75
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A contractor undertakes to complete a work in 19 weeks. He employs 18...
Work done by 180 men in 7 weeks = 1260 men weeks.
This is half the work. It means the remaining half is 1260 men weeks.
Work done by 140 men in 5 weeks = 700 men weeks.
So remaining work = 1260 - 700 = 560 men weeks which has to be completed over 7 weeks.
Required number of men = 560/7 = 80
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Most Upvoted Answer
A contractor undertakes to complete a work in 19 weeks. He employs 18...
To solve this problem, let's break it down into smaller parts and calculate the work done by each group of men.

First, we are given that 180 men complete 1/2 of the work in 7 weeks. So, in 1 week, 180 men will complete 1/2 * 1/7 = 1/14 of the work.

Next, we are told that 140 men work for 5 weeks. So, in 1 week, 140 men will complete 1/5 of the work.

Now, let's calculate the total work done by the first group of men and the second group of men.

The total work done by the first group of men is:
180 men * 1/14 of the work per week * 7 weeks = 90/7 of the work.

The total work done by the second group of men is:
140 men * 1/5 of the work per week * 5 weeks = 28/5 of the work.

To find the remaining work, we subtract the work done by both groups from the total work required.

Total work - (Work done by first group + Work done by second group) = Remaining work
1 - (90/7 + 28/5) = Remaining work
1 - (450/35 + 196/35) = Remaining work
1 - 646/35 = Remaining work
35/35 - 646/35 = Remaining work
(-646 + 35)/35 = Remaining work
-611/35 = Remaining work

Since the remaining work is negative, it means that the work has been completed before the 19-week deadline. Therefore, no additional men are required to finish the work.

So, the answer is option 'B' - 80 men.
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A contractor undertakes to complete a work in 19 weeks. He employs 180 men for 7 weeks and they complete 1/2 of the work. He then reduces the number of men to 140, who work for 5 weeks. How many men must be employed for the remaining period to finish the work?a)96b)80c)84d)75Correct answer is option 'B'. Can you explain this answer?
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