Final answer:
Without the specific percentage of the hole filled, we cannot calculate the exact time to fill the rest of the hole. The examples provided illustrate how flow rates impact filling times and that the time taken can be estimated by dividing the volume by the flow rate.
Step-by-step explanation:
It seems that there's a typo in the original question concerning the percentage of the hole filled by water. Nevertheless, we'll approach this as a proportional problem where the fill rate is constant. Since it takes 4 and a half hours to fill a certain percentage of the hole, we can assume the remaining portion of the hole will take a proportional amount of time to fill. If, for example, the hole was filled 50% of the way in 4.5 hours, it would take another 4.5 hours to fill the rest. However, without the specific percentage, we cannot calculate an exact time.
Using the examples provided for the rate of flow from hoses and the effects of different nozzles and openings, we understand that the rate of flow can significantly impact the time required to fill a given volume. In a practical situation, like filling a container or a pool, knowing the volume flow rate (usually in liters per minute or cubic meters per second) is crucial for determining fill time.
As an application of this concept, if the flow rate from a garden hose is known, you can divide the total volume of the pool by the flow rate to find out how long it will take to fill the pool. For example, an 80,000 L swimming pool being filled by a hose that delivers 60 L/min would take approximately 80,000 L / 60 L/min = 1333.33 minutes, or about 22.22 hours to fill. In contrast, if you could divert a river flowing at 5000 m³/s, considering that 1 m³ = 1000 L, the pool would fill almost instantaneously given the vast difference in flow rates.