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9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?
- a)68 days
- b)81 days
- c)96 days
- d)124 days
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
9 kids can finish a bit of work in 360 days. 18 men can finish the sam...
Given:
- 9 kids can finish a bit of work in 360 days
- 18 men can finish the same work in 72 days
- 12 ladies can finish it in 162 days
To find:
- Time taken by 4 men, 12 ladies and 10 kids together to finish the work
Assumptions:
- Let the total work be 1 unit
- Let the efficiency of 1 kid be x, efficiency of 1 man be y and efficiency of 1 lady be z
- From the given data, we can calculate x, y and z
Calculation:
- As per the first given statement, 9 kids can finish the work in 360 days
- So, total work done by 1 kid in 1 day = 1/(9*360) = 1/3240
- Efficiency of 1 kid (x) = 1/3240
- As per the second given statement, 18 men can finish the work in 72 days
- So, total work done by 1 man in 1 day = 1/(18*72) = 1/1296
- Efficiency of 1 man (y) = 1/1296
- As per the third given statement, 12 ladies can finish the work in 162 days
- So, total work done by 1 lady in 1 day = 1/(12*162) = 1/1944
- Efficiency of 1 lady (z) = 1/1944
- Let the time taken by 4 men, 12 ladies and 10 kids together to finish the work be t days
- Total work done in 1 day by 4 men, 12 ladies and 10 kids = 4y + 12z + 10x
- According to the rule of work, time taken is inversely proportional to efficiency and directly proportional to the amount of work
- So, we can write the equation: (4y + 12z + 10x) * t = 1
- Substituting the values of x, y and z, we get: t = 81 days
Therefore, the answer is option (b) 81 days.
- 9 kids can finish a bit of work in 360 days
- 18 men can finish the same work in 72 days
- 12 ladies can finish it in 162 days
To find:
- Time taken by 4 men, 12 ladies and 10 kids together to finish the work
Assumptions:
- Let the total work be 1 unit
- Let the efficiency of 1 kid be x, efficiency of 1 man be y and efficiency of 1 lady be z
- From the given data, we can calculate x, y and z
Calculation:
- As per the first given statement, 9 kids can finish the work in 360 days
- So, total work done by 1 kid in 1 day = 1/(9*360) = 1/3240
- Efficiency of 1 kid (x) = 1/3240
- As per the second given statement, 18 men can finish the work in 72 days
- So, total work done by 1 man in 1 day = 1/(18*72) = 1/1296
- Efficiency of 1 man (y) = 1/1296
- As per the third given statement, 12 ladies can finish the work in 162 days
- So, total work done by 1 lady in 1 day = 1/(12*162) = 1/1944
- Efficiency of 1 lady (z) = 1/1944
- Let the time taken by 4 men, 12 ladies and 10 kids together to finish the work be t days
- Total work done in 1 day by 4 men, 12 ladies and 10 kids = 4y + 12z + 10x
- According to the rule of work, time taken is inversely proportional to efficiency and directly proportional to the amount of work
- So, we can write the equation: (4y + 12z + 10x) * t = 1
- Substituting the values of x, y and z, we get: t = 81 days
Therefore, the answer is option (b) 81 days.
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Community Answer
9 kids can finish a bit of work in 360 days. 18 men can finish the sam...
9×360 children = 18×72 men = 12×162 women
⇒ 45 children = 18 men
= 27 women
⇒ 5 children = 2 men = 3 women
Now, 4 men + 12 women + 10 children
= 4 men + 8 men + 4 men
= 16 men
∵ 18 men can complete the work in 72 days.
∴ 16 men can complete the work in =18×72/16 = 81 days
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9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer?
Question Description
9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer?.
9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer?.
Solutions for 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 9 kids can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?a)68 daysb)81 daysc)96 daysd)124 daysCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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