A maintenance crew consists of 8 men and 6 women who can repair a track segment in 5 days, while 6 men and 10 women can repair the same segment in 4 days. In how many days can 1 man and 1 woman repair it?
Answer and explanation
Correct answer: D. 34 days
- Step 1: 5 (8M + 6W) = 4 (6M + 10W) => 40M + 30W = 24M + 40W => 16M = 10W => 8M = 5W => M/W = 5/8.
- Step 2: Let M = 5 units/day, W = 8 units/day. Total work = 5 (85 + 68) = 5 (40 + 48) = 5 * 88 = 440 units.
- Step 3: Combined rate of 1M + 1W = 5 + 8 = 13 units/day. Days = 440 / 13 ≈ 33.85 days (approx 34 days).
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