A faucet is leaking at a rate of 4.2 milliliter per minute. How many gallons of water does the faucet leak per day? Use 1 L = 0.26 gal. Explain how you solved this problem
To find out how many gallons of water the faucet leaks per day, we need to follow these steps:
Step 1: Determine the amount of water leaked per minute.
The faucet leaks at a rate of 4.2 milliliters per minute.
Step 2: Convert milliliters to liters.
1 liter = 1000 milliliters
So, 4.2 milliliters is equal to 4.2 / 1000 = 0.0042 liters.
Step 3: Convert liters to gallons.
1 liter = 0.26 gallons
Therefore, 0.0042 liters is equal to 0.0042 * 0.26 = 0.001092 gallons.
Step 4: Find the amount of water leaked per day.
Since there are 60 minutes in an hour and 24 hours in a day, we multiply the amount leaked per minute by the number of minutes in an hour and the number of hours in a day:
0.001092 gallons/minute * 60 minutes/hour * 24 hours/day = 0.7872 gallons/day.
Therefore, the faucet leaks approximately 0.7872 gallons of water per day.
To solve this problem, we need to convert the given rate of water leakage from milliliters to gallons and then calculate the amount of water leaked per day.
First, let's convert the rate of leakage from milliliters to liters. Since 1 liter (L) is equal to 1000 milliliters (mL), we divide the given rate (4.2 mL) by 1000 to get the rate in liters per minute:
4.2 mL ÷ 1000 = 0.0042 L per minute
Next, we need to convert the rate from liters per minute to gallons per minute using the given conversion factor of 1 L = 0.26 gal:
0.0042 L/minute ÷ 1 L/0.26 gal = 0.0042 L/minute × 0.26 gal/1 L = 0.001092 gal/minute
Now, to find the amount of water leaked per day, we need to multiply the leakage rate by the number of minutes in a day (24 hours * 60 minutes = 1440 minutes):
0.001092 gal/minute × 1440 minutes = 1.57328 gallons (rounded to five decimal places)
Therefore, the faucet leaks approximately 1.57328 gallons of water per day.