Explanations:To determine the arrival time of a train that departs at 9:10 AM and travels for 8 hours, you need to add the travel duration to the departure time. This involves adding the hours and minutes separately and converting the result to the correct time format.
First, let's break down the departure time and the travel duration:
Departure time: 9:10 AM
Travel duration: 8 hours
Adding 8 hours to 9:10 AM involves the following steps:
1. Add the hours: 9 AM + 8 hours = 17:00 (in 24-hour format)
2. Add the minutes: 10 minutes remain the same
So, 9:10 AM + 8 hours = 17:10 (in 24-hour format)
To convert 17:10 to the 12-hour format, we subtract 12 from 17:
17:10 - 12:00 = 5:10 PM
Therefore, the train arrives at 5:10 PM.
It is important to note that when adding hours to a time, you need to consider the 12-hour cycle of the clock. If the sum of the hours exceeds 12, you subtract 12 to convert it to the 12-hour format. In this case, 17:10 in 24-hour format is equivalent to 5:10 PM in 12-hour format.
Common mistakes include forgetting to convert the time to the correct format after adding the hours and minutes, or misunderstanding the 24-hour clock system and incorrectly converting AM/PM times. Always ensure that you correctly account for the 12-hour cycle when converting times.