Final answer:
It is not reasonable to conclude that Katrina alone can feed all the animals in 24 minutes, because her rate of work is 1/36 animals per minute, which would take her 36 minutes to feed all the animals.
Step-by-step explanation:
In order to determine if it is reasonable to conclude that Katrina alone can feed all the animals in 24 minutes, we need to compare the rates at which Iladin and Katrina work. Let's assume that Iladin's rate of work is represented by x and Katrina's rate of work is represented by y. From the given information, we can create the following equations:
1. Iladin can feed all the animals in 72 minutes, so his rate of work is 1/72 animals per minute.
2. Iladin and Katrina together can feed all the animals in 18 minutes, so their combined rate of work is 1/18 animals per minute.
Using these equations, we can write the following equation:
1/72 + y = 1/18
Simplifying this equation, we get:
y = 1/18 - 1/72
y = 1/36
So, Katrina's rate of work is 1/36 animals per minute. In order to determine how long it would take for Katrina to feed all the animals alone, we can use the following equation:
1/36 * t = 1
Where t represents the time it would take for Katrina alone to feed all the animals. Solving for t, we get:
t = 36 minutes
Therefore, it is not reasonable to conclude that Katrina alone can feed all the animals in 24 minutes, because her rate of work is 1/36 animals per minute, which would take her 36 minutes to feed all the animals.