4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 8 men and 6 women take to do the same job?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3 days.
Let total work = 1 unit
(4M + 3W) × 6 = (5M + 7W) × 4
→ 24M + 18W = 20M + 28W
→ 4M = 10W → M = 2.5W
Now, total work = (4M + 3W) × 6 = (10W + 3W) × 6 = 78W
Work per day by 8M + 6W = 8×2.5W + 6W = 20W + 6W = 26W
Time = 78W / 26W = 3 days