if patrick can paint a wall in 40 minutes, what part of it can he paint in 1/2 hour?
1/4
1/2
2/3
3/4
4/5
1 wall is 40 minutes.
1/2 hour is equal to 30 minutes
Set up a ratio
1 wall/ 40 minutes = x wall/ 30 minutes
x wall= (1*30)/40
wall = 3/4
To find out what part of the wall Patrick can paint in half an hour, we need to determine the fraction of time it takes for him to paint the wall.
Given that Patrick can paint the wall in 40 minutes, we can set up a ratio to find the fraction of the wall he can paint in one minute:
40 minutes = 1 whole wall
1 minute = 1/40 of the wall
Since there are 60 minutes in half an hour, we need to find the fraction of the wall Patrick can paint in 60 minutes and then simplify it to 30 minutes:
1 minute = 1/40 of the wall
60 minutes = 60 * (1/40) = 3/2 or 1.5 whole walls
Now, to find the fraction of the wall he can paint in half an hour (30 minutes), we need to divide 1.5 (the fraction of the wall he can paint in 60 minutes) by 2:
Fraction of wall painted in 1/2 hour = (1.5 whole walls) / 2 = 3/4
Therefore, Patrick can paint 3/4 of the wall in half an hour.
The correct answer is 3/4.