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5 men and 10 boys can do a piece of work in 30 days and 8 men and 12 boys can do the work in 20 days then the ratio of daily work done by a man to that of a boy.
  • a)
    5:1
  • b)
    4:5
  • c)
    6:1
  • d)
    7:3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
5 men and 10 boys can do a piece of work in 30 days and 8 men and 12 b...
Given that, 5m + 10b = 1/30 and 8m + 12b = 1/20
after solving we get m = 1/200 and b = 1/1200
so required ratio = (1/200) : (1/1200) = 6:1
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Community Answer
5 men and 10 boys can do a piece of work in 30 days and 8 men and 12 b...
Given:
5 men and 10 boys can do a piece of work in 30 days
8 men and 12 boys can do the work in 20 days

Let's assume:
Let the work done by a man in one day be M and the work done by a boy in one day be B

Calculation:
- From the first statement, we have:
5M + 10B = 1/30 (as they complete the work in 30 days)
- From the second statement, we have:
8M + 12B = 1/20 (as they complete the work in 20 days)
- Solving these two equations simultaneously will give us the values of M and B.
- After solving, we get:
M = 1/150 (work done by a man in one day)
B = 1/300 (work done by a boy in one day)
- Therefore, the ratio of work done by a man to a boy in one day is:
M:B = (1/150) : (1/300) = 2 : 1

Final Answer:
Therefore, the ratio of daily work done by a man to that of a boy is 2:1.
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5 men and 10 boys can do a piece of work in 30 days and 8 men and 12 boys can do the work in 20 days then the ratio of daily work done by a man to that of a boy.a)5:1b)4:5c)6:1d)7:3Correct answer is option 'C'. Can you explain this answer?
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