4 men’s work is equal to 6 women’s work, and 4 women’s work is equal to 6 boys’ 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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 16.
Given that, 4M = 6W
⇒ M : W = 3 : 2
Also 4W = 6B
⇒ W : B = 3 : 2
Then, M : W : B = 9 : 6 : 4
According to the given question,
A boy can complete the work in 60 days, Total work = Number of days × Efficiency
⇒ 60 × 4 = 240
The time taken by a man and woman together = = 16
Hence the required answer is 16 days.