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Question : 4 men’s work is equal to 6 women’s work and 4 women’s work is equal to 6 boy's work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together?

Option 1: 16

Option 2: 24

Option 3: 20

Option 4: 12


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 16


Solution : Let the efficiency of a woman, a man, and a boy be w, m, and b, respectively.
According to the question,
4m = 6w and 4w = 6b
Let b = 4 units per day, then w = 6 units per day, and m = 9 units per day.
Now, total work = 4 × 60 = 240 units
One day work of 1 man and 1 woman = 9 + 6 = 15 units
So, the time taken by 1 man and 1 woman to complete the work = $\frac{240}{15}=16$ days
Hence, the correct answer is 16.

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