Solve the following problems. 1. A TV show airs at 21:00. You set a reminder 45 minutes before it starts. What time should the reminder go off? Answer: 2. You leave home at 11:30 AM and return at 18:15. How many hours and minutes were you away from home? Answer:
Answer (1)
Let's work through each problem step by step.
To find out what time the reminder should go off, we need to subtract 45 minutes from 21:00 (9:00 PM).
21:00 - 0:45 = 20:15 Therefore, the reminder should go off at 20:15 (or 8:15 PM).
To calculate how long you were away from home, we subtract the departure time from the return time.
Departure time: 11:30 AM Return time: 18:15 (6:15 PM)
First, let's convert both times to 24-hour time format for easier calculation: 11:30 AM remains 11:30. 6:15 PM becomes 18:15.
Now perform the subtraction: 18:15 - 11:30
To do this, subtract the minutes first: 15 minutes - 30 minutes can’t be done directly, so we borrow 1 hour (60 minutes) from the 18 hours:
17 hours (1 hour borrowed, turning the 18 to 17) and 75 minutes (60 + 15 minutes)
75 minutes - 30 minutes = 45 minutes 17 hours - 11 hours = 6 hours
Therefore, you were away from home for 6 hours and 45 minutes.
