Explanation

Let:

• M1 = Number of machines in the first case = 8
• D1 = Number of days taken in the first case = 10
• M2 = Number of machines in the second case = 16
• D2 = Number of days taken in the second case =?

The formula for inverse proportion is: M1 * D1 = M2 * D2

Substitute the values: 8 * 10 = 16 * D2 80 = 16 * D2

To find D2, divide both sides by 16: D2 = 80 / 16 D2 = 5

So, it will take 16 machines 5 days to do the work.