Final answer:
To find out how much water will be poured into the tank in 20 minutes, we calculate the number of 8-minute intervals in 20 minutes (2.5) and then multiply it by the amount of water added in each interval, resulting in 37.5 liters of water.
Step-by-step explanation:
To determine how much water in liters will be poured into the tank in 20 minutes at a rate of 15 liters every 8 minutes, we set up a proportion. Since there are 20 minutes we are interested in, we can divide 20 minutes by the 8-minute interval to find out how many 8-minute intervals there are in 20 minutes. This gives us 20 / 8 = 2.5 intervals. To find the total amount of water, we multiply the number of intervals by the amount of water added in each interval: 2.5 intervals × 15 liters per interval.
Now, let's calculate: 2.5 × 15 = 37.5 liters.
Therefore, 37.5 liters of water will be poured into the tank in 20 minutes.