"joins" "together" Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long does it take Nick to paint the house alone

7.5 days.

Step-by-step explanation:

Let t represent time taken by Nick in days to paint the house alone.

Part of house painted by Nick in 1 day would be .

We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be .

We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be .

Now, we will equate sum of work done by both brothers with to solve for t as:

Therefore, it will take 7.5 days for the Nick to paint the house alone.

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