"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.

hi there!

the answer will be d: 2

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus