In a shopping complex, 5 men or 8 women can do an equal amount of work in a…
2025
In a shopping complex, 5 men or 8 women can do an equal amount of work in a day. A job requires 3 men and 5 women to finish it in 10 days. How many women are required to finish the same job in 14 days?
- A.
8
- B.
7
- C.
6
- D.
9
Attempted by 3519 students.
Show answer & explanation
Correct answer: B
Step 1: Convert men to equivalent women.
5 men = 8 women, so 1 man = 8/5 women.
Step 2: Find combined daily workforce in women.
3 men = 3 × 8/5 = 24/5 women. Add 5 women: total = 24/5 + 5 = 24/5 + 25/5 = 49/5 women.
Step 3: Compute total work in women-days.
They work for 10 days, so total work = (49/5) × 10 = 98 women-days.
Step 4: Find number of women required to finish in 14 days.
Let the required number of women be X. Then X × 14 = 98 ⇒ X = 98/14 = 7.
Answer: 7 women.