Suppose you are filling an Olympic-size swimming pool at a rate of 16,000
gallons per hour. The pool will hold a total of 648,000 gallons of water. You’ve
been filling the pool for 12 hours. How many more hours until the pool is full?
time to fill the pool = 648,000/16,000 = 40.5 hours
so if you have been at it for 12 hours already ...... ?
Well, it seems like you're in quite a splashy situation! Let's dive in and calculate how much water is left to fill the pool.
If you've been filling the pool for 12 hours at a rate of 16,000 gallons per hour, then you have filled a total of 12 x 16,000 = 192,000 gallons.
To find out how many more gallons you need to fill the pool, subtract the amount already filled from the total capacity: 648,000 - 192,000 = 456,000 gallons.
Now, to determine how many more hours it will take to fill the pool, divide the remaining gallons by the filling rate: 456,000 / 16,000 = 28.5 hours.
Keep swimming along, my friend! You have approximately 28.5 hours left until the pool is full. Just remember to take some breaks for a cannonball or two!
Given that you have been filling the pool for 12 hours and the filling rate is 16,000 gallons per hour, you can calculate the total amount of water that has been added to the pool as follows:
Water added in 12 hours = filling rate per hour * time in hours
Water added in 12 hours = 16,000 gallons per hour * 12 hours
Water added in 12 hours = 192,000 gallons
To find out how many more hours it will take to fill the pool completely, you subtract the amount of water added in 12 hours from the total capacity of the pool:
Remaining water needed = Total capacity of the pool - Water added in 12 hours
Remaining water needed = 648,000 gallons - 192,000 gallons
Remaining water needed = 456,000 gallons
Since the filling rate is 16,000 gallons per hour, you can calculate the additional time required to fill the remaining water:
Additional time required = Remaining water needed / Filling rate per hour
Additional time required = 456,000 gallons / 16,000 gallons per hour
Additional time required = 28.5 hours
Therefore, it will take approximately 28.5 more hours until the pool is full.
To find out how many more hours it will take to fill the pool, we need to determine how many gallons of water have already been added to the pool.
Given:
- Rate of filling the pool: 16,000 gallons per hour
- Total capacity of the pool: 648,000 gallons
- Number of hours already filled: 12 hours
To find the total gallons of water added, we multiply the rate of filling by the number of hours filled:
Total gallons of water added = Rate of filling × Number of hours filled
= 16,000 gallons per hour × 12 hours
= 192,000 gallons
Now, to find how many more gallons of water are needed to reach the full capacity of the pool, we subtract the amount of water already added from the total capacity of the pool:
Remaining gallons of water needed = Total capacity of the pool - Total gallons of water added
= 648,000 gallons - 192,000 gallons
= 456,000 gallons
Finally, to determine the number of hours it will take to fill the remaining gallons of water needed, we divide the remaining gallons by the rate of filling:
Number of additional hours needed = Remaining gallons of water needed ÷ Rate of filling
= 456,000 gallons ÷ 16,000 gallons per hour
= 28.5 hours
Therefore, it will take approximately 28.5 more hours to fill the remaining water needed to reach the full capacity of the pool.