It took 3 hoses 4 hours to fill the first 20,000 gallons in a swimming pool. Then a 4th hose was
added. If there was 15000 gallon left to fill, how long did it take?
assuming all the hoses have the same fill rate,
3 hoses fill 5000gal/hr, so that is 5000/3 gal/hr per hose.
now you know the hose fill rate, so multiply that by 4, and divide it into 15000gal.
To solve this problem, we can first find the rate at which the 3 hoses were filling the pool. Then we can determine how long it will take the 4 hoses (including the newly added one) to fill the remaining 15,000 gallons.
We know that it took the 3 hoses a total of 4 hours to fill the first 20,000 gallons. Therefore, the rate at which they were filling the pool is calculated by dividing the amount filled by the time taken:
Rate = Amount / Time
Rate = 20,000 gallons / 4 hours
Rate = 5,000 gallons per hour
Now, since a 4th hose was added, the total rate at which the pool is being filled is the sum of the rates of the 4 hoses:
Total Rate = Rate of 3 hoses + Rate of 4th hose
Total Rate = 5,000 gallons per hour + Rate of 4th hose
Let's assume the rate of the 4th hose is x gallons per hour. Therefore, the total rate becomes:
Total Rate = 5,000 gallons per hour + x
We also know that there were 15,000 gallons left to fill when the 4th hose was added. We can determine the time it will take to fill this remaining amount using the formula:
Time = Amount / Rate
Time = 15,000 gallons / Total Rate
Substituting the value of the total rate, we have:
Time = 15,000 gallons / (5,000 gallons per hour + x)
Therefore, the time it took to fill the remaining 15,000 gallons can be calculated using the equation above.