Final answer:
To fill a private swimming pool of 80,000 liters, it would take about 1,333.33 minutes or roughly 22.22 hours using a garden hose delivering 60 liters per minute. If you could divert a river flowing at 5000 m³/s into the pool, it would fill in just 0.016 seconds.
Step-by-step explanation:
The question involves calculating the time it would take to fill swimming pools with water at different rates. We can solve a question 9(a) by dividing the pool capacity by the rate at which water is delivered. For a capacity of 80,000 liters and a hose delivering 60 liters per minute, the time can be calculated as follows:
Time = Pool Capacity ÷ Flow Rate
= 80,000 L ÷ 60 L/min
= 1,333.33 minutes
This estimate tells us it would take approximately 1,333.33 minutes to fill the swimming pool using a garden hose. To convert this into hours, we divide by 60:
1,333.33 minutes ÷ 60 minutes/hour = 22.22 hours
For question 9(b), we convert the river flow from cubic meters per second to liters per second by multiplying by 1,000 (since 1 m³ = 1,000 L):
River Flow Rate = 5000 m³/s × 1,000 L/m³
= 5,000,000 L/s
Then we use this rate to calculate the filling time for the swimming pool:
Time = Pool Capacity ÷ River Flow Rate
= 80,000 L ÷ 5,000,000 L/s
= 0.016 seconds
Thus, it would take an exceptionally rapid 0.016 seconds to fill the pool if you could divert a moderate-sized river into it.