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Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete the remaining work:
- a)2
- b)4
- c)5
- d)6
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Twelve men can complete a work in 8 days. Three days after they starte...
Problem:
Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete the remaining work?
Solution:
Given that,
12 men can complete the work in 8 days
Let’s consider the total work as 1 unit.
Therefore,
12 men can complete the work in 8 days
1 man can complete the work in 96 days (12 × 8)
Now,
Work done by 12 men in 3 days = (12 × 3)/8 = 4.5 units (using the formula work = men × time)
Remaining work = 1 – 4.5 = –3.5 units
Note: The remaining work is in negative because they have completed more work than required in the first 3 days.
Now,
15 men can complete the work in x days (after 3 days)
Let’s use the formula,
Men1 × Days1 = Men2 × Days2
12 × 8 = 15 × x
x = 9.6 days
Therefore,
All the men together can complete the remaining work in 9.6 – 3 = 6.6 (approx. 7) days
Hence, the correct answer is option (b) 4 days.
Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete the remaining work?
Solution:
Given that,
12 men can complete the work in 8 days
Let’s consider the total work as 1 unit.
Therefore,
12 men can complete the work in 8 days
1 man can complete the work in 96 days (12 × 8)
Now,
Work done by 12 men in 3 days = (12 × 3)/8 = 4.5 units (using the formula work = men × time)
Remaining work = 1 – 4.5 = –3.5 units
Note: The remaining work is in negative because they have completed more work than required in the first 3 days.
Now,
15 men can complete the work in x days (after 3 days)
Let’s use the formula,
Men1 × Days1 = Men2 × Days2
12 × 8 = 15 × x
x = 9.6 days
Therefore,
All the men together can complete the remaining work in 9.6 – 3 = 6.6 (approx. 7) days
Hence, the correct answer is option (b) 4 days.
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Community Answer
Twelve men can complete a work in 8 days. Three days after they starte...
Total work= 12×8 =96
together they work for 3 days, then 3×12=36
remaining work= 96- 36=60
now 3 more men join them, total workers =15
time taken to complete the remaining work=60/15= 4
Hence, correct option is 'B'.
together they work for 3 days, then 3×12=36
remaining work= 96- 36=60
now 3 more men join them, total workers =15
time taken to complete the remaining work=60/15= 4
Hence, correct option is 'B'.
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