45 men can complete the work in 16days. six days after they started working, 30 more than men joined them. How many will they now take to complete the remaining work?
Answers
Answered by
30
Answer:
Let them take x more days to finish the job.
Therefore, 45*16 = (45*6) + (75*x)
i.e. x = 45*10/75 = 6 days
Step-by-step explanation:
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Answered by
52
Answer:
- They will take 6 days to complete the remaining work.
Step-by-step explanation:
Given that:
- 45 men can complete the work in 16 days.
- Six days after they started working, 30 more men joined them.
To Find:
- How many will they now take to complete the remaining work?
We know that:
- Total work = 1
Finding 45 men's 6 days work:
- 45 men's 16 days work = 1
- 45 men's 1 day work = 1/16
- 45 men's 6 days work = 6/16 = 3/8
Finding the remaining work:
Remaining work = Total work - Work completed
- Remaining work = 1 - 3/8
- Remaining work = 8/8 - 3/8
- Remaining work = 5/8
We have,
- 45 men's 1 day work = 1/16
- 1 man's 1 day work = 1/(16 × 45)
- 1 man's 1 day work = 1/720
After 6 days 30 more men joined.
- Total men = 45 + 30 = 75 men
Finding 75 men's 1 day work:
- 1 man's 1 day work = 1/720
- 75 men's 1 day work = 75/720
- 75 men's 1 day work = 5/48
Finding the time taken to complete the remaining work:
- 75 men can complete 5/48 work in 1 day.
- 75 men can complete 5/8 work in (5/8)/(5/48) days.
- 75 men can complete 5/8 work in 6 days.
Hence,
- They will take 6 days to complete the remaining work.
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