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A man and a woman working together can do a certain work in 22 hrs. If their skills for doing the work are in the ratio 5 : 4. Then how many days will woman takes to finish the work? 
  • a)
    44 hrs 
  • b)
    48 ½ hrs
  • c)
    49 ½ hrs
  • d)
    50 hrs
Correct answer is option 'C'. Can you explain this answer?
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Given:
- A man and a woman working together can do a certain work in 22 hrs.
- The skills of the man and woman are in the ratio 5:4.

Approach:
- Let the woman take x hours to finish the work.
- According to the given information, the man takes (22/5) hours to finish the work.

Calculation:
- Since the skills of the man and woman are in the ratio 5:4, the ratio of work done by them in 1 hour is 5:4.
- Let the total work be W. So, in 1 hour, the man completes (5/9)W work and the woman completes (4/9)W work.
- Therefore, the man completes the work in (22/5) hours, and the woman completes the work in x hours.
- Based on the above information, the equation can be formed as:
(5/9)W * (22/5) + (4/9)W * x = W

Solving the equation:
- Simplifying the equation, we get:
22 + 4x/9 = 1
4x/9 = 1 - 22
4x/9 = 1/9
4x = 1
x = 1/4
x = 4 hours

Conclusion:
- Therefore, the woman will take 4 hours to finish the work, which is equivalent to 49 ½ hours. Hence, the correct answer is option 'C'.
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A man and a woman working together can do a certain work in 22 hrs. If their skills for doing the work are in the ratio 5 : 4. Then how many days will woman takes to finish the work?a)44 hrsb)48 ½ hrsc)49 ½ hrsd)50 hrsCorrect answer is option 'C'. Can you explain this answer?
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A man and a woman working together can do a certain work in 22 hrs. If their skills for doing the work are in the ratio 5 : 4. Then how many days will woman takes to finish the work?a)44 hrsb)48 ½ hrsc)49 ½ hrsd)50 hrsCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man and a woman working together can do a certain work in 22 hrs. If their skills for doing the work are in the ratio 5 : 4. Then how many days will woman takes to finish the work?a)44 hrsb)48 ½ hrsc)49 ½ hrsd)50 hrsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man and a woman working together can do a certain work in 22 hrs. If their skills for doing the work are in the ratio 5 : 4. Then how many days will woman takes to finish the work?a)44 hrsb)48 ½ hrsc)49 ½ hrsd)50 hrsCorrect answer is option 'C'. Can you explain this answer?.
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