At 8:15 AM Jean found a parking meter that still had 20 minutes until expired. She quickly put a nickel a dime and 2/4 in the meter and went shopping if every five cents buys 15 minutes of parking time at what time will the meter expire
Jean put a total of 35 cents in the meter (5 cents for the nickel, 10 cents for the dime, and 20 cents for the 2/4). Since every five cents buys 15 minutes of parking time, 35 cents would buy 105 minutes of parking time (7 sets of 15 minutes).
Adding 105 minutes (1 hour and 45 minutes) to the original 20 minutes, we get a total of 2 hours and 5 minutes of parking time.
8:15 AM + 2 hours and 5 minutes = 10:20 AM
Therefore, the meter will expire at 10:20 AM.
To calculate the time the meter will expire, we can follow these steps:
1. Start with the initial time on the meter: 8:15 AM.
2. Convert the time to minutes: 8:15 AM = 8 * 60 + 15 = 495 minutes.
3. Add the parking time purchased to the initial time. We know that 5 cents buys 15 minutes, and Jean put in a nickel (5 cents), a dime (10 cents), and 2/4 (50 cents). So, the total parking time purchased is 15 minutes per 5 cents * (5 cents + 10 cents + 50 cents) = 15 * (5 + 10 + 50) = 15 * 65 = 975 minutes.
4. Add the purchased parking time to the initial time: 495 minutes + 975 minutes = 1470 minutes.
5. Convert the result back to hours and minutes: 1470 minutes = 24 hours * 60 minutes + 30 minutes = 24:30 or 12:30 PM.
Therefore, the parking meter will expire at 12:30 PM.