If a tank is emptied in 5 minutes by a pump that is pumping at a rate of 300 gallons per minute, how long will it take to empty the tank with a pump that will pump at a rate of 500 gallons per minute?

https://www.jiskha.com/questions/1827764/q3-if-a-tank-is-emptied-in-5-minutes-by-a-pump-that-is-pumping-at-a-rate-of-300-gallons

To answer this question, we need to use the concept of rates.

The first pump empties the tank in 5 minutes at a rate of 300 gallons per minute. We can calculate the total volume of the tank by multiplying the rate of the first pump by the time it takes:

Total volume = Rate * Time = 300 gallons/minute * 5 minutes = 1500 gallons

Now, we want to find out how long it will take to empty the same tank with a pump that pumps at a rate of 500 gallons per minute.

Using the formula:
Time = Total volume / Rate

We can substitute the values into this formula:
Time = 1500 gallons / 500 gallons per minute = 3 minutes

Therefore, it will take 3 minutes to empty the tank with a pump that pumps at a rate of 500 gallons per minute.

300gal./min * 5min. = 1500 gal.

500T = 1500.
T =