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Here is part of a train timetable:

| Station | Time 1 | Time 2 | Time 3 |
|-------------|--------|--------|--------|
| Westchester | 0600 | 0630 | 0815 |
| Northton | 0612 | 0642 | 0827 |
| Middlewich | 0621 | 0651 | 0836 |
| Eastwick | 0634 | 0704 | 0849 |
| Southam | 0649 | 0719 | 0904 |

a) A train leaves Westchester at 0630. What time should it arrive at Middlewich?

b) Kate lives in Northton. She works in Southam and starts work at 9 am. What is the time of the latest train that she can catch to get to work on time?

c) How long does the train take to travel from Westchester to Eastwick?



Answer :

Certainly! Let's address each part of the question step-by-step using the information provided in the timetable:

a) A train leaves Westchester at 0630. What time should it arrive at Middlewich?

- We need to find the arrival time at Middlewich for the train that departs from Westchester at 0630.
- According to the timetable, the corresponding arrival time at Middlewich for this train is 0651.

So, the train that leaves Westchester at 0630 should arrive at Middlewich at 0651.

b) Kate lives in Northton. She works in Southam and starts work at 9am. What is the time of the latest train that she can catch to get to work on time?

- Kate needs to arrive in Southam by 9am for work.
- Looking at the timetable, we need to determine which trains arrive in Southam before 0900.

The relevant arrival times for Southam are:
- 0649
- 0719
- 0904

- From these times, the only trains that allow Kate to reach before 0900 are the ones arriving at 0649 and 0719.
- The latest train she can catch to arrive before 9am is the one arriving at 0719.

Therefore, the time of the latest train that Kate can catch to reach work on time is 0719.

c) How long does the train take to travel from Westchester to Eastwick?

- We need to find the travel time for the train that departs Westchester at 0600 and arrives at Eastwick.
- According to the timetable, the corresponding departure time from Westchester is 0600 and the arrival time at Eastwick is 0634.

To find the travel time, we calculate the difference between the arrival time and the departure time.
- Departure Time: 0600
- Arrival Time: 0634

Using 24-hour time format:
- 0634 - 0600 = 34 minutes

So, the train takes 34 minutes to travel from Westchester to Eastwick.