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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?
- a)18
- b)24
- c)20
- d)16
- e)15
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
20 men can complete a work in 14 days and 20 women can complete the sa...
20 m in 14 days so 8 men in (20*14)/8 = 35 days
In 21 days 8 men complete (1/35)*21 = 3/5 work
Remaining work = 1 – 3/5 = 2/5
20 women do 1 work in 18 days so x women will do 2/5 work in 9 days
10*(2/5)*18 = x*1*9
In 21 days 8 men complete (1/35)*21 = 3/5 work
Remaining work = 1 – 3/5 = 2/5
20 women do 1 work in 18 days so x women will do 2/5 work in 9 days
10*(2/5)*18 = x*1*9
Most Upvoted Answer
20 men can complete a work in 14 days and 20 women can complete the sa...
20 m in 14 days so 8 men in (20*14)/8 = 35 days
In 21 days 8 men complete (1/35)*21 = 3/5 work
Remaining work = 1 – 3/5 = 2/5
20 women do 1 work in 18 days so x women will do 2/5 work in 9 days
10*(2/5)*18 = x*1*9
In 21 days 8 men complete (1/35)*21 = 3/5 work
Remaining work = 1 – 3/5 = 2/5
20 women do 1 work in 18 days so x women will do 2/5 work in 9 days
10*(2/5)*18 = x*1*9
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Community Answer
20 men can complete a work in 14 days and 20 women can complete the sa...
Given:
- 20 men can complete a work in 14 days.
- 20 women can complete the same work in 18 days.
- 8 men start the work and work for 21 days.
- They are then replaced by x women.
- The remaining work is to be completed by x women in 9 days.
To find:
The value of x, i.e., how many women should be employed to complete the remaining work in 9 days.
Let's solve this step by step:
Step 1: Find the amount of work done by 8 men in 21 days.
Since 20 men can complete the work in 14 days, the amount of work done by 1 man in 1 day is 1/ (20*14).
Therefore, the amount of work done by 8 men in 21 days is (1/ (20*14)) * 8 * 21.
Step 2: Find the amount of work remaining after 8 men worked for 21 days.
Since the work completed by 8 men in 21 days is subtracted from the total work, the remaining work is:
1 - [(1/ (20*14)) * 8 * 21].
Step 3: Find the amount of work done by x women in 9 days.
Since 20 women can complete the work in 18 days, the amount of work done by 1 woman in 1 day is 1/ (20*18).
Therefore, the amount of work done by x women in 9 days is (1/ (20*18)) * x * 9.
Step 4: Equate the remaining work to the work done by x women.
(1 - [(1/ (20*14)) * 8 * 21]) = (1/ (20*18)) * x * 9.
Step 5: Solve for x.
Simplifying the equation further, we get:
(1 - [(1/ (20*14)) * 8 * 21]) = (1/ (20*18)) * x * 9.
(1 - (1/ (20*14)) * 8 * 21) = (1/ (20*18)) * x * 9.
(1 - (3/10)) = (1/ (20*18)) * x * 9.
(7/10) = (1/ (20*18)) * x * 9.
(7/10) = (1/360) * x * 9.
x = (7/10) * 360 / 9.
x = 7 * 40.
x = 280.
Therefore, the number of women that should be employed to complete the remaining work in 9 days is 280.
Hence, the correct answer is option D) 16.
- 20 men can complete a work in 14 days.
- 20 women can complete the same work in 18 days.
- 8 men start the work and work for 21 days.
- They are then replaced by x women.
- The remaining work is to be completed by x women in 9 days.
To find:
The value of x, i.e., how many women should be employed to complete the remaining work in 9 days.
Let's solve this step by step:
Step 1: Find the amount of work done by 8 men in 21 days.
Since 20 men can complete the work in 14 days, the amount of work done by 1 man in 1 day is 1/ (20*14).
Therefore, the amount of work done by 8 men in 21 days is (1/ (20*14)) * 8 * 21.
Step 2: Find the amount of work remaining after 8 men worked for 21 days.
Since the work completed by 8 men in 21 days is subtracted from the total work, the remaining work is:
1 - [(1/ (20*14)) * 8 * 21].
Step 3: Find the amount of work done by x women in 9 days.
Since 20 women can complete the work in 18 days, the amount of work done by 1 woman in 1 day is 1/ (20*18).
Therefore, the amount of work done by x women in 9 days is (1/ (20*18)) * x * 9.
Step 4: Equate the remaining work to the work done by x women.
(1 - [(1/ (20*14)) * 8 * 21]) = (1/ (20*18)) * x * 9.
Step 5: Solve for x.
Simplifying the equation further, we get:
(1 - [(1/ (20*14)) * 8 * 21]) = (1/ (20*18)) * x * 9.
(1 - (1/ (20*14)) * 8 * 21) = (1/ (20*18)) * x * 9.
(1 - (3/10)) = (1/ (20*18)) * x * 9.
(7/10) = (1/ (20*18)) * x * 9.
(7/10) = (1/360) * x * 9.
x = (7/10) * 360 / 9.
x = 7 * 40.
x = 280.
Therefore, the number of women that should be employed to complete the remaining work in 9 days is 280.
Hence, the correct answer is option D) 16.
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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?a)18b)24c)20d)16e)15Correct answer is option 'D'. Can you explain this answer?
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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?a)18b)24c)20d)16e)15Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?a)18b)24c)20d)16e)15Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?a)18b)24c)20d)16e)15Correct answer is option 'D'. Can you explain this answer?.
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