4 men and 8 women complete a job in 10 days, and 5 men and 24 women complete the same work in 4 days. In how many days will 1 men and 1 women complete the same work.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. days.
Let the eficiency of 1 man and 1 woman be x and y respectively.
According to the given question,
(4x + 8y) × 10 = (5x + 24y) × 4
⇒ 40x + 80y = 20x + 96y
⇒ 20x = 16y
⇒ x : y = 4 : 5
Total work = (4 × 4 + 8 × 5) × 10
⇒ 56 × 10 = 560 units
Time taken by 1 man and 1 woman to complete the work = 560/(4 + 5)
⇒ 560/9 =