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Maths In Jobs

Be a junior train driver for a day maths challenge

An imaginative role-play challenge where children use timetables, speed, distance and punctuality like a real train driver.

Quick answer

You can be a junior train driver for a day by using maths to work out train times, distances, and how to keep trains on schedule – just like real train drivers do!

Learning outcome

By the end of this page, you will be able to use timetables, calculate distances, and understand how speed and time are connected to keep a train on schedule. Success signs:
  • You can read a train timetable and find the right departure and arrival times.
  • You can work out how far a train has travelled using speed and time.
  • You can decide if a train is running late or early based on the schedule.
  • You can plan a simple train journey using maths.

Why this matters

Being a train driver uses lots of maths – from planning when to leave and arrive, to checking how fast the train is going. Whether you're planning a journey or helping to keep trains on time, you need to use maths every day. In real life, train drivers use maths to make sure passengers get where they need to go safely and on time. This challenge helps you understand how useful maths can be in jobs that look exciting and busy!

How it works

To be a junior train driver for a day, you need to understand:
  1. Timetables – when trains leave and arrive.
  2. Distance – how far a train travels.
  3. Speed – how fast the train is going.
  4. Punctuality – keeping to the schedule.
Let’s imagine you’re the train driver for a short trip from London to Brighton. First, you need to know when the train leaves and arrives. Then, you need to work out how fast it goes and how far it travels. If it’s late, you need to work out why and how to fix it.

Examples you can see

Let’s say the train leaves London at 10:15 and arrives in Brighton at 11:45. How long does the journey take?
  1. From 10:15 to 11:15 is 1 hour.
  2. From 11:15 to 11:45 is 30 minutes.
  3. So the journey takes 1 hour and 30 minutes.
Now, if the train travels 50 miles in 1 hour, how far does it go in 2 hours?
  1. In 1 hour it goes 50 miles.
  2. In 2 hours it goes 50 + 50 = 100 miles.
  3. So the train travels 100 miles in 2 hours.
Let’s look at a real-life example:
  • A train is scheduled to leave at 9:00 and arrive at 10:30.
  • If it leaves at 9:10, how late is it?
  • It should have left at 9:00, but it left at 9:10.
  • So it is 10 minutes late.

Try it as a mini adventure

Adventure: The Great Train Journey You are the junior train driver for a day, and you must plan a journey from London to Cambridge.
  • Step 1: The train leaves London at 8:30 and arrives in Cambridge at 10:00.
  • Step 2: The distance between London and Cambridge is 100 miles.
  • Step 3: How long does the journey take?
  • Step 4: How fast is the train going?
  • Step 5: If the train is delayed by 15 minutes, what time does it arrive?
Let’s solve this together:
  1. From 8:30 to 9:30 is 1 hour.
  2. From 9:30 to 10:00 is 30 minutes.
  3. The journey takes 1 hour and 30 minutes.
  4. Speed = Distance ÷ Time = 100 miles ÷ 1.5 hours = about 67 miles per hour.
  5. If the train is delayed by 15 minutes, it arrives at 10:15.
Now you are the junior train driver! You can plan your own journey or change the time and see what happens.

Common mistakes

  • Mistake: Thinking that if a train is 10 minutes late, it means it is 10 minutes slower.
  • Why it happens: Children confuse delay with speed.
  • Fix: Remember, delay is about time, not speed. If a train is 10 minutes late, it means it arrived 10 minutes after the planned time.
  • Mistake: Adding time incorrectly, like 1 hour 45 minutes + 30 minutes = 1 hour 75 minutes.
  • Why it happens: Children don’t know that 60 minutes = 1 hour.
  • Fix: Remember to convert 60 minutes into 1 hour. So 1 hour 45 minutes + 30 minutes = 2 hours 15 minutes.
  • Mistake: Confusing distance and speed.
  • Why it happens: Children mix up what speed and distance mean.
  • Fix: Distance is how far something goes. Speed is how fast it goes. For example, a train goes 100 miles in 2 hours. Distance = 100 miles, Speed = 50 miles per hour.

Parent and carer guide

As a parent or carer, you can help your child by:
  • Playing the role of a train driver together, using a timetable or a map.
  • Practising time calculations, like how long a journey takes.
  • Using real-life examples like bus or train schedules at home.
  • Encouraging your child to make up their own train journey and solve the maths.
  • Helping them understand the difference between delay and speed.
It’s okay if your child makes mistakes – that’s how they learn! You can gently guide them back to the right answer, but don’t worry if they get confused at first. The more they play and practice, the more confident they’ll become.

Practice questions

  1. A train leaves at 9:15 and arrives at 10:45. How long is the journey?
  2. If a train travels 80 miles in 2 hours, how fast is it going?
  3. If a train is supposed to arrive at 12:00 but arrives at 12:20, how late is it?
  4. A train is 1 hour 20 minutes late. If it was supposed to arrive at 3:00, what time does it arrive?
  5. If a train goes 60 miles per hour for 3 hours, how far does it go?
Answers:
  1. 1 hour 30 minutes
  2. 40 miles per hour
  3. 20 minutes
  4. 4:20
  5. 180 miles

FAQ

What is a timetable?

A timetable is a list of times that shows when trains leave and arrive at different stations.

How do I work out how fast a train is going?

You divide the distance the train travels by the time it takes. Speed = Distance ÷ Time.

Why do train drivers need to know maths?

Train drivers use maths to plan journeys, make sure trains are on time, and keep passengers safe.

Can I use this challenge to learn about other jobs?

Yes! You can try the same challenge with other jobs like bus drivers, pilots, or delivery drivers.

How can I make this more fun?

You can draw your own train timetable, make up stories about your journey, or even pretend to be a train conductor with a toy train set.