A chef turned on a faucet and filled a 2-gallon pot in
5
6
of a minute. What is the rate of water flow?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
To find the rate of water flow, we need to determine the amount of water that fills the pot in 1 minute.
If the chef fills the pot in 5/6 of a minute, we need to calculate how much water is needed to fill the pot in 1 minute.
Since the pot is filled in 5/6 of a minute, the amount of water filled in 1 minute would be (2 gallons) / (5/6) = 2 * (6/5) = 12/5 = 2.4 gallons
The rate of water flow is 2.4 gallons per minute.
Therefore, the rate of water flow is 12/5.
To find the rate of water flow, we can divide the amount of water (2 gallons) by the time it took to fill the pot (5/6 of a minute).
So, the rate of water flow is:
2 gallons ÷ (5/6 of a minute)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
2 gallons × (6/5) minutes
Simplifying this expression gives us the following:
(2 × 6) gallons ÷ 5 minutes
= 12 gallons ÷ 5 minutes
Therefore, the rate of water flow is 12/5 or 2 2/5 or 2.4 gallons per minute.