Here are parts of two train timetables.
James lives in Stamford.
He is going to a meeting in York.
Melton Mowbray to Peterborough
06 31
06 53
06 43
07 05
06 57
07 19
07 10
07 33
Melton Mowbray
Oakham
Stamford
Peterborough
Peterborough
Newark
Doncaster
York
James will travel by train from Stamford to Peterborough.
He will then travel by train from Peterborough to York.
Peterborough to York
07 45
07 58
08 30
09 00
09 27
07 05
07 37
08 09
08 31
07 34
07 45
08 01
08 16
08 50
08 34
08 45
09 01
09 16
08 15
08 43
09 09
09 32
09 15
09 43
10 09
10 32
It will take James 30 minutes to walk from the station in York to his meeting.
His meeting starts at 10 00.
Plan a schedule for his journey to York, such that he arrives on time for his meeting but gets the latest possible train for each part of the journey.
(Put each time in four digit form without spaces, e.g. 0545)
(3 marks)

To ensure that James arrives on time for his meeting in York at 10:00, he should catch the latest possible train for each part of his journey. The latest train from Stamford to Peterborough is at 07:33, and the journey takes approximately 41 minutes. Arriving in Peterborough at 08:14, he will then need to catch the latest possible train to York at 09:32. The journey from Peterborough to York takes 52 minutes. Adding on 30 minutes for the walk from the station to his meeting, James should aim to catch the 07:33 train from Stamford to Peterborough and the 09:32 train from Peterborough to York to ensure he arrives on time for his 10:00 meeting in York.

So, the schedule for his journey is as follows:

Depart Stamford at 07:33

Arrive at Peterborough at 08:14

Depart Peterborough at 09:32

Arrive at York at 10:24