Final answer:
Mr. Hudson can paint 1/6 of his wall per hour.
Step-by-step explanation:
To find out how much of his wall Mr. Hudson can paint per hour, we need to determine the number of walls he can paint in one hour based on the given information.
Given that he can paint 1/9 of the wall in 2/3 of an hour, we can calculate the number of walls he can paint in one hour as follows:
- First, we need to find the fraction of the wall he can paint in one hour, which is the reciprocal of the time taken to paint 1/9 of the wall in 2/3 of an hour.
- The reciprocal is found by dividing 1 by 2/3, which gives us 3/2.
- Next, we multiply this fraction by 1/9 to find how much of the wall he can paint in one hour. Multiplying 3/2 by 1/9 gives us 3/18, which simplifies to 1/6.
Therefore, Mr. Hudson can paint 1/6 of his wall per hour.