A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 4 men and 5 women to do the work in 2 days?a)16b)14c)15d)None of theseCorrect answer is option 'D'. Can you explain this answer?

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A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 4 men and 5 women to do the work in 2 days?

a)
16
b)
14
c)
15
d)
None of these

Correct answer is option 'D'. Can you explain this answer?

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A man, a woman or a boy can do a job in 20 days, 30 days or 60 days re...

Explanation :Let the total work to be done = 60 units

∴ Efficiency of a man = 60/20 = 3 units/day
∴ Efficiency of a woman = 60/30 = 2 units/day
∴ Efficiency of a boy = 60/60 = 1 units/day

Let x boys assist 4 men and 5 women.

∴ (4m + 5w + xb) × 2 = 60

⇒ (12 + 10 + x) = 30

⇒ x = 8

Hence, option (D).

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A man, a woman or a boy can do a job in 20 days, 30 days or 60 days re...

Given Data:
- A man can do the job in 20 days
- A woman can do the job in 30 days
- A boy can do the job in 60 days

Calculating Efficiency:
- Efficiency of a man = 1/20
- Efficiency of a woman = 1/30
- Efficiency of a boy = 1/60

Efficiency of 4 men, 5 women, and x boys working together:
- (4 * 1/20) + (5 * 1/30) + (x * 1/60) = 1/2
- Simplifying, we get: 1/5 + 1/6 + x/60 = 1/2
- LCM of 5, 6, and 60 is 60
- Multiplying throughout by 60, we get: 12 + 10 + x = 30
- Solving for x, we get: x = 8

Number of Boys required:
- Therefore, 8 boys must assist 4 men and 5 women to do the work in 2 days.
Therefore, the correct answer is option D - None of these.

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A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 4 men and 5 women to do the work in 2 days?a)16b)14c)15d)None of theseCorrect answer is option 'D'. Can you explain this answer?

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