IMAT 2017 Q20 [Train Trip]

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I leave Victoria at 8:07 and arrive at Three Bridges at 8:41. I need to catch a train from Three Bridges at 8:45 to either Arundel or Chichester. I want to spend at least four hours in Chichester and four hours in Arundel. I have no preference in which order I will visit the towns. I then need to return to Victoria.

The tables below show extracts from the train timetables:

image

What is the earliest possible time I can arrive back at Victoria?

A. 19:18
B. 20:20
C. 19:47
D. 19:15
E. 18:47

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Simple steps to solve word problems:

  • Underline key information
  • Determine what they are trying to ask, and what you will need to solve it
  • Eliminate any non-essential information
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  • In moments of high stress like exam taking, always work with the paper they give you to avoid careless mistakes.
  • Solve.

For this question, we need to consider two different pathways:

1) Three Bridges → Arundel → Chichester → Victoria

Three Bridges (leave 8:45) → Arundel (arrive 9:32) + 4 hours (leave 14:02) → Chichester (arrive 14:24) + 4 hours (leave 18:37) → Victoria (Arrive 20:20)

Or

2) Three Bridges → Chichester → Arundel → Victoria

Three Bridges (leave 8:45) → Chichester (arrive 9:34) + 4 hours (leave 13:41) → Arundel (arrive 14:12) + 4 hours (leave 18:13) → Victoria (arrive 19:47)

\fcolorbox{red}{grey!30}{Therefore C is correct, the earliest you could arrive is 19:47}
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