6B

Reading timetables

Reading train and bus timetables in 24-hour time, express and all-stops services, journey times, planning backwards from an arrival time, and making connections.

Trip planner apps do this for you, until your phone is flat or the app is wrong about a delay. Timetables also come up in exams, where the skill is reading the right row and column calmly and counting elapsed time without slipping.

How a timetable is laid out

Most train timetables list stations down the side and services across the top. Read down a column to follow one train. Read across a row to see every train that stops at one station. A vertical bar "|" means the train passes that station without stopping.

The timetable below is a practice one for a Western line morning. It is not a real Sydney Trains timetable, but it is laid out the same way.

StationAll stopsExpressAll stopsAll stopsExpress
Penrith06:4506:5507:0507:2507:35
St Marys06:5207:0207:1207:3207:42
Blacktown07:0207:1107:2207:4207:51
Seven Hills07:05|07:2507:45|
Parramatta07:1407:2107:3407:5408:01
Strathfield07:2807:3307:4808:0808:13
Redfern07:4007:4408:0008:2008:24
Central07:4307:4708:0308:2308:27

Some stations between those listed are left out to save space. The interactive below shows the full practice timetable.

Example 1●

You catch the $06{:}55$ express from Penrith. When does it reach Parramatta, and how long is the trip?

Arrives $07{:}21$
Find the 06:55 column, then read down to the Parramatta row.
$5 + 21 = 26$ min
Count up from 06:55: 5 min to 07:00, then 21 more.

Planning backwards

When you have to be somewhere by a certain time, start from the arrival station. Find the latest train that arrives on time, then read back up its column to your departure station. Check the train actually stops at both.

Example 2●●

Kai lives near Seven Hills and must be at Central by $8{:}15$ am. What is the latest train Kai can catch, and how long is the trip?

The $08{:}03$ arrival
Read along the Central row for the latest time no later than 08:15. 08:23 is too late.
Leaves Seven Hills at $07{:}25$
Read up that column to Seven Hills. It is an all-stops train, so it stops there.
Trip $= 38$ min
From 07:25 to 08:03 is 35 min to 08:00 plus 3 min.

Express or all stops?

Example 3●●

Compare the $06{:}55$ express and the $07{:}05$ all-stops train from Penrith to Central. Which is faster, and by how much?

Express: $52$ min
06:55 to 07:47: 5 min to 07:00, then 47 min.
All stops: $58$ min
07:05 to 08:03: 55 min to 08:00, then 3 min.
The express is $6$ min faster, and it arrives $16$ min earlier because it also leaves $10$ min earlier.
The express skips stations, and every stop costs time.

Connections and waiting time

Buses that run "every $15$ minutes" or "at $:05$, $:20$, $:35$ and $:50$" past the hour are easy to plan around. List the departure times after you arrive, leave yourself time to walk between stops, and pick the first one you can make.

Example 4●●

You arrive at Parramatta at $07{:}21$. It takes $3$ minutes to walk to the bus stop. Buses leave at $:05$, $:20$, $:35$ and $:50$ past each hour. How long do you wait at the bus stop?

At the stop at $07{:}24$
You can't be at the stop before 07:21 + 3 min.
Next bus $07{:}35$
The 07:20 bus has gone, so the next is 07:35.
Wait $= 11$ min
From 07:24 to 07:35.
InteractivePractice timetable planner
Try this
  • Set From Blacktown, To Central, and Arrive by $08{:}00$. Which train should you catch? Is it an express?
  • Change From to Seven Hills with the same arrival time. Why does the answer change?
  • Find the quickest trip from Penrith to Redfern on the timetable. How many minutes does the express save?

Your turn

A student catches the $07{:}35$ express from Penrith to Redfern, then walks $9$ minutes to university. When do they reach the uni?

Show the working

The $07{:}35$ express reaches Redfern at $08{:}24$. Adding $9$ minutes gives $08{:}33$.

Flashcards
A vertical bar | in a timetable
The train passes that station without stopping
Planning to arrive by a time
Start at the arrival row, find the latest train that makes it, read back up its column
Practice
  1. Using the timetable above, when does the $07{:}05$ from Penrith reach Strathfield?

  2. How many minutes does the $07{:}25$ from Penrith take to reach Parramatta?

  3. Which trains in the table do not stop at Seven Hills?

  4. You need to be at Redfern by $08{:}00$. What is the latest train you can catch from Blacktown?

  5. How long, in minutes, does the express take from Blacktown ($07{:}11$) to Central?

  6. A bus runs every $12$ minutes starting at $06{:}00$. You reach the stop at $07{:}21$. How many minutes do you wait?

  7. Penrith to Central takes $58$ minutes all stops and $52$ minutes by express. How many minutes does the express save?

  8. In a timetable, "|" in a train's column means:

  9. Exam style: Jess leaves home at $06{:}48$ and walks $12$ minutes to St Marys. She catches the next train to Parramatta. How many minutes after leaving home does she arrive at Parramatta?

  10. Exam style: A student catches the $07{:}35$ express from Penrith to Redfern and then walks for $9$ minutes. When do they arrive?

Formula sheet