If 16 men working 7 hours a day can plow a field in 48 days, in how many days will 14 men working 12 hours a day plow the same field?

Question: If 16 men working 7 hours a day can plow a field in 48 days, in how many days will 14 men working 12 hours a day plow the same field?

Solution:
Let the one-day work = number of men × total working hours per day
Now, the ratio of total work = (14 × 12) : (16 × 7)
Now, the ratio of days = 48 : x
Where x is the required number of days
Now,
one day work is inversely proportional to the number of days:
So, (14 × 12) : (16 × 7) = 48: x
Or, x = (48 ×16 × 7)/ (14 × 12) = 32

Therefore, 32 days are required to plow the same field.