A group of painters finishes a wall in 15 hours. Halfway through, 2 painters leave (from a group of 6). Remaining time now
Correct answer: D. 12
- A. 9
- B. 10
- C. 11
- D. 12
Explanation
The original group of 6 painters can complete the wall in 15 hours, meaning half the work is done in 7.5 hours. After this point, 4 painters remain due to 2 leaving. These remaining painters now have to complete the other half of the work. Under the original conditions, the remaining work would take 7.5 hours with 6 painters. However, with only 4 painters, the work rate decreases. Since the ratio of the original to the current number of painters is 6:4 or 3:2, the time needed increases to 7.5 hours * (3/2), which equals 11.25 hours. Rounding this to the nearest whole number gives us 12 hours. Therefore, the remaining time needed is 12 hours. Options A, B, and C miscalculate the time by not properly adjusting for the workforce change.
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