Planning a journey
When planning a journey it is usually necessary to look at timetables and also consider how long parts of the journey will take.
Example
Caroline has an interview in Edinburgh at \(3pm\). A part of the train timetable is shown.
| Leave local station | Arrive Edinburgh |
| \(12.45\) | \(13.50\) |
| \(13.20\) | \(14.26\) |
| \(13.50\) | \(14.54\) |
| \(14.20\) | \(15.27\) |
| Leave local station | \(12.45\) |
|---|---|
| Arrive Edinburgh | \(13.50\) |
| Leave local station | \(13.20\) |
|---|---|
| Arrive Edinburgh | \(14.26\) |
| Leave local station | \(13.50\) |
|---|---|
| Arrive Edinburgh | \(14.54\) |
| Leave local station | \(14.20\) |
|---|---|
| Arrive Edinburgh | \(15.27\) |
| Leave local station | |
|---|---|
| Arrive Edinburgh |
It will take her \(15 minutes\) to get from home to her local station.
It will take her \(20 minutes\) to get from the station in Edinburgh to the interview office.
Question
When is the latest time she can leave home to be on time for the interview?
At what time is it likely she will arrive at the interview office?
To have enough time in Edinburgh she must arrive on the train at \(14.26\). (This will allow her the \(20 mins\) she needs to get to the interview office - the train arriving at \(14.54\) only gives her six minutes before the interview start time).
The train that arrives in Edinburgh at \(14.26\) leaves Caroline's station at \(13.20\).
As she needs \(15 mins\) to get to her station she would have to leave home at \(13.05\) at the latest (\(1.05pm\)).
She should arrive at the interview office at \(14.46\) (\(2.46pm\)).
