A garden hose takes 14.0 hours to fill a 3500 gallon swimming pool. What is the flow rate of the water in gallons per minute? At this rate, how long would it take the hose to fill an 11,000 gallon pool?
I was going to use the formula for flow rate but I don't have the diameter and it isn't a pipe. Help please? I know it's filling at a rate of 4.167 gallons per minute but I don't know what to do after.
flow rate-3500gal/14hrs*1hr/60min
time= volume/rate=11,000/(3500/840) gal/min
To find the flow rate of the water in gallons per minute, you can use the formula:
Flow Rate = Total Volume / Total Time
In this case, the total volume is 3500 gallons and the total time is 14.0 hours. To convert hours to minutes, multiply 14.0 by 60 (since there are 60 minutes in an hour).
So, the formula becomes:
Flow Rate = 3500 gallons / (14.0 hours * 60 minutes per hour)
Flow Rate = 3500 / (14.0 * 60)
Simplifying the calculation, we have:
Flow Rate ≈ 4.167 gallons per minute
Now, to calculate how long it would take the hose to fill an 11,000 gallon pool, you can use the flow rate. Again, use the formula:
Total Time = Total Volume / Flow Rate
In this case, the total volume is 11,000 gallons and the flow rate is 4.167 gallons per minute. Plugging the values into the formula gives us:
Total Time = 11,000 gallons / 4.167 gallons per minute
Total Time ≈ 2,640 minutes
Therefore, it would take approximately 2,640 minutes for the hose to fill the 11,000 gallon pool at this flow rate.