Question : 14 workers working 16 hours per day can demolish a building in 81 days. In how many days 18 workers working 24 hours per day can demolish the same building?
Option 1: 54 days
Option 2: 42 days
Option 3: 70 days
Option 4: 30 days
Correct Answer: 42 days
Solution :
Given that 14 workers working 16 hours per day can demolish a building in 81 days, the total man-hours required to demolish the building is,
Total man-hours = 14 × 16 × 81
If 18 workers are working 24 hours per day, the number of days they would take to demolish the same building is,
Number of days = $\frac{14 \times 16 \times 81}{18 \times 24}$ = 42
Hence, the correct answer is 42 days.
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