Answer:
Rate at which sprinkler will fill the pool is
per minute.
Step-by-step explanation:
It takes 8 minutes for Byron to fill the kiddie pool in the backyard with the use of handheld hose only.
So part of kiddie pool filled in one minute = 
When lawn sprinkler and handheld hose both were used to fill the pool,it took 5 minute to fill the pool together.
Now the part of pool filled in one minute = 
If the sprinkler fills the pool alone in r minutes then the pool filled per minute will be = 
Now we combine these three facts to form the equation.




r = 
Therefore, time taken by sprinkler alone will be 13.33 minutes and the rate per minute at which sprinkler will fill the pool is
.