Question : If 20 men can complete a piece of work in 18 days working 5 hours per day, in how many days can 25 men complete it, working 6 hours per day?
Option 1: 10 days
Option 2: 13 days
Option 3: 11 days
Option 4: 12 days
Correct Answer: 12 days
Solution :
Amount of work done = Number of workers × Number of days × Number of hours worked per day
If 20 men working 5 hours per day can complete the work in 18 days, then the total man-hours required to complete the work = 20 × 18 × 5 = 1800
If 25 men worked 6 hours per day, then in D days, they would have completed the same work.
So, 25 × D × 6 = 1800
⇒ D = $\frac{1800}{25 \times 6}$ = 12
Hence, the correct answer is 12 days.
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