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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?
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9 kids can finish a bit of work in 360 days. 18 men can finish the sa...
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 the same work in 162 days
To find:
- Time taken by 4 men, 12 ladies, and 10 kids together to finish the work
Approach:
- We can find the work done by 1 kid in 1 day by dividing the total work by the number of days taken by 9 kids to finish the work. Similarly, we can find the work done by 1 man and 1 lady in 1 day.
- Let x be the total work to be done. Then, the work done by 1 kid in 1 day = x/(9*360) = x/3240
- Similarly, the work done by 1 man in 1 day = x/(18*72) = x/1296
- And, the work done by 1 lady in 1 day = x/(12*162) = x/1944
Now, we need to find the time taken by 4 men, 12 ladies, and 10 kids together to finish the work. Let t be the time taken.
- Work done by 4 men, 12 ladies, and 10 kids in 1 day = 4*(x/1296) + 12*(x/1944) + 10*(x/3240)
- Total work done in t days = t*(4*(x/1296) + 12*(x/1944) + 10*(x/3240))
- As per the question, the total work done in t days should be equal to x. So, we can equate the above two equations and solve for t.
Calculation:
- Simplifying the above equations, we get: t = 81 days
Therefore, the time taken by 4 men, 12 ladies, and 10 kids together to finish the work is 81 days. Hence, the correct answer is option B.
- 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 the same work in 162 days
To find:
- Time taken by 4 men, 12 ladies, and 10 kids together to finish the work
Approach:
- We can find the work done by 1 kid in 1 day by dividing the total work by the number of days taken by 9 kids to finish the work. Similarly, we can find the work done by 1 man and 1 lady in 1 day.
- Let x be the total work to be done. Then, the work done by 1 kid in 1 day = x/(9*360) = x/3240
- Similarly, the work done by 1 man in 1 day = x/(18*72) = x/1296
- And, the work done by 1 lady in 1 day = x/(12*162) = x/1944
Now, we need to find the time taken by 4 men, 12 ladies, and 10 kids together to finish the work. Let t be the time taken.
- Work done by 4 men, 12 ladies, and 10 kids in 1 day = 4*(x/1296) + 12*(x/1944) + 10*(x/3240)
- Total work done in t days = t*(4*(x/1296) + 12*(x/1944) + 10*(x/3240))
- As per the question, the total work done in t days should be equal to x. So, we can equate the above two equations and solve for t.
Calculation:
- Simplifying the above equations, we get: t = 81 days
Therefore, the time taken by 4 men, 12 ladies, and 10 kids together to finish the work is 81 days. Hence, the correct answer is option B.
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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?
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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? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 UPSC 2024 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 UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 UPSC 2024 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?.
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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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