Question

suppose 50.7 liters of water came out of a faucet today. if 2.6 liters of water come out each minute, for how many minutes was the faucet on?

Explanation:

Identify the given values

The problem states that a total of \(50.7\) liters of water came out of a faucet.
The rate at which water flows is \(2.6\) liters per minute.

Set up the division

To find the total time in minutes that the faucet was on, we divide the total volume of water by the rate of water flow per minute.

$$ \text{Time} = \frac{\text{Total Volume}}{\text{Rate}} $$

$$ \text{Time} = \frac{50.7}{2.6} $$

Perform the calculation

To divide \(50.7\) by \(2.6\), we can multiply both the numerator and the denominator by \(10\) to work with whole numbers:

$$ \frac{50.7}{2.6} = \frac{507}{26} $$

Now, we perform long division of \(507\) by \(26\):

• \(26 \times 10 = 260\)
• \(26 \times 19 = 494\)
• \(507 - 494 = 13\)
• Since \(13\) is exactly half of \(26\) (\(26 \times 0.5 = 13\)), we have:

$$ 19 + 0.5 = 19.5 $$

State the final result

The faucet was on for \(19.5\) minutes.

Answer:

Suppose 50.7 liters of water came out of a faucet today. If 2.6 liters of water come out each minute, for how many minutes was the faucet on? <blank>19.5</blank> minutes