Answer: At diameter of 0.2 inches , the speed of water coming out is 15 feet per second.
Step-by-step explanation:
Since we have given that
The speed of the water coming out of the hose varies inversely with the diameter of the tube at the end of the hose.
If the diameter of the tube = 0.6 inches
The speed to water coming out = 5 feet per second
If the diameter of the tube = 0.2 inches
Then we need to find the speed of water coming out say 'x'.
So,
Diameter 0.6 inches 0.2 inches
Speed 5 feet/sec x
Since they are inversely related .
So, it becomes

So, At diameter of 0.2 inches , the speed of water coming out is 15 feet per second.