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If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days is
- a)n3∕m2
- b)n2∕m3
- c)m2/n3
- d)m3/n2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If m persons working m hrs a day for each of the m days produce m unit...
**Given Information:**
- m persons working m hours a day for each of the m days produce m units of work.
**To find:**
- The units of work produced by n persons working n hours a day for each of the n days.
**Solution:**
Let's break down the given information and solve step by step.
- m persons working m hours a day for each of the m days produce m units of work.
- So, in total, each person works for m * m = m^2 hours in m days.
- Since each person produces 1 unit of work per hour, the total work done by m persons is m^2 units.
- Therefore, the work done by each person per day is m^2 / m = m units.
Now, we need to find the units of work produced by n persons working n hours a day for each of the n days.
- Similarly, each person works for n * n = n^2 hours in n days.
- Since each person produces 1 unit of work per hour, the total work done by n persons is n^2 units.
- Therefore, the work done by each person per day is n^2 / n = n units.
So, the units of work produced by n persons working n hours a day for each of the n days is n units.
Comparing this with the given information:
- m persons working m hours a day for each of the m days produce m units of work.
- n persons working n hours a day for each of the n days produce n units of work.
We can see that the number of units of work produced is directly proportional to the number of persons, the number of hours worked per day, and the number of days worked.
Hence, the correct option is **A) n^3 * m^2**.
- m persons working m hours a day for each of the m days produce m units of work.
**To find:**
- The units of work produced by n persons working n hours a day for each of the n days.
**Solution:**
Let's break down the given information and solve step by step.
- m persons working m hours a day for each of the m days produce m units of work.
- So, in total, each person works for m * m = m^2 hours in m days.
- Since each person produces 1 unit of work per hour, the total work done by m persons is m^2 units.
- Therefore, the work done by each person per day is m^2 / m = m units.
Now, we need to find the units of work produced by n persons working n hours a day for each of the n days.
- Similarly, each person works for n * n = n^2 hours in n days.
- Since each person produces 1 unit of work per hour, the total work done by n persons is n^2 units.
- Therefore, the work done by each person per day is n^2 / n = n units.
So, the units of work produced by n persons working n hours a day for each of the n days is n units.
Comparing this with the given information:
- m persons working m hours a day for each of the m days produce m units of work.
- n persons working n hours a day for each of the n days produce n units of work.
We can see that the number of units of work produced is directly proportional to the number of persons, the number of hours worked per day, and the number of days worked.
Hence, the correct option is **A) n^3 * m^2**.
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Community Answer
If m persons working m hrs a day for each of the m days produce m unit...
Answer :
- a)n3∕m2
Correct Option:
A
Let the required number of units of work = k
According to the formula,
W
M
⇒ m x m x m x k = n x n x n x m
∴ x= (m x n
According to the formula,
W
1
= m and W2
= kM
1
T1
D1
W2
= M2
T2
D2
W1
⇒ m x m x m x k = n x n x n x m
∴ x= (m x n
3
) / m3
= n3
/m2
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Question Description
If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer?.
If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer?.
Solutions for If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days isa)n3m2b)n2m3c)m2/n3d)m3/n2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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