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A water faucet leaked {2}/{3} liters of water over the course of {2}/{3} hours. How many liters would it have leaked after 4 hours?

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Final answer:

To calculate the amount of water leaked from the faucet after 4 hours, find the leak rate per hour (which is 1 liter/hour) and multiply it by 4. This results in a total of 4 liters leaked after 4 hours.

Step-by-step explanation:

The question is asking how many liters of water would leak from a faucet after 4 hours, given that it leaked 2/3 liters of water over the course of 2/3 hours. To find the answer, we will determine the rate of leakage in liters per hour and then use this rate to calculate the amount leaked over 4 hours.

First, we calculate the leakage rate:

  • The faucet leaks 2/3 liters in 2/3 hours.
  • We divide the amount of water leaked by the time to find the leak rate per hour: (2/3) / (2/3) = 1 liter/hour.

Next, we calculate the total leak over 4 hours:

  • We multiply the leak rate by the time: 1 liter/hour x 4 hours = 4 liters.

Therefore, the faucet would have leaked 4 liters of water after 4 hours.

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