Final answer:
Considering the travel times and requirements, Tucker should ideally leave home at 3:45 a.m. However, among the given answer choices, the closest correct time for Tucker to leave home is 3:55 a.m.
Step-by-step explanation:
The question requires calculating the time Tucker should leave home to catch a flight that departs at 5:40 a.m., considering various time constraints. Tucker needs to check-in at least 30 minutes before the flight, the shuttle takes an hour and 10 minutes to reach the airport, and it takes Tucker 15 minutes to drive to the shuttle bus stop. Here is the breakdown:
- Flight departure time: 5:40 a.m.
- Airline check-in requirement: 30 minutes before departure
- Shuttle bus duration: 1 hour and 10 minutes
- Drive to shuttle bus stop: 15 minutes
To calculate the latest time Tucker can leave home, we need to work backward from the flight departure time:
- Subtract 30 minutes for check-in requirement (5:40 a.m. - 30 minutes = 5:10 a.m.)
- Subtract shuttle bus travel time (5:10 a.m. - 1 hour 10 minutes = 4:00 a.m.)
- Subtract drive time to shuttle bus stop (4:00 a.m. - 15 minutes = 3:45 a.m.)
However, none of the answer choices match this calculation. Therefore, the closest time that Tucker should leave home, according to the answer options provided, is 3:55 a.m.