Final answer:
To find the number of days it will take 15 men to reap the field if they work for 8 hours a day, we can use the formula (Men A * Hours A * Days A) = (Men B * Hours B * Days B). By solving for Days B, we find it will take 15 men, working for 8 hours a day, 4 days to reap the field.
Step-by-step explanation:
To find the number of days it will take 15 men to reap the field if they work for 8 hours a day, we can use a variation of the formula: (Men A * Hours A * Days A) = (Men B * Hours B * Days B). Using the information given in the question, we can plug in the values to solve for Days B: (5 men * 6 hours * 20 days) = (15 men * 8 hours * Days B). Solving for Days B gives us: Days B = (5 men * 6 hours * 20 days) / (15 men * 8 hours). Simplifying the equation, we get: Days B = 4 days. Therefore, it will take 15 men, working for 8 hours a day, 4 days to reap the field.