Everyday maths for Construction and Engineering 1

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

# 2.1 Adding distances

Many trips have more than one stop. To calculate how far you have to travel you need to add together the distances between stops.

## Example: The sales trip

A sales rep for Autocare has to travel from Edinburgh to York, then to London, and then back to Edinburgh. How far will they travel?

Method

Use the mileage chart to find the distances between Edinburgh and York, York and London, and London and Edinburgh.

The distance between Edinburgh and York is 186 miles.

Figure 14 Edinburgh to York on a mileage chart

London to York is 194 miles.

Figure 15 London to York on a mileage chart

Returning from London to Edinburgh is 412 miles.

Figure 16 London to Edinburgh on a mileage chart

The total distance of the trip is:

• 186 + 194 + 412 = 792 miles

Use the mileage table to help you with the following activity. Remember to check your answers once you have completed the questions.

## Activity 5: Travelling across the UK

1. You use a hire car to go from London to Cardiff, from Cardiff to Liverpool and then back to London. You pay 10p for each mile you drive.
• a.How many miles must you pay for?
• b.How much would this cost?
1. You work in Newcastle and you want to go for a training day with Audi. The training days are in Leeds and York. Which one is closest?

1. The answers are as follows:
• a.You need to look up all the distances and then add them together:

London to Cardiff is 150 miles.

Figure 17 London to Cardiff on a mileage chart

Cardiff to Liverpool is 165 miles.

Figure 18 Cardiff to Liverpool on a mileage chart

Liverpool to London is 198 miles.

Figure 19 Liverpool to London on a mileage chart

So the total distance is:

•

• 150 + 165 + 198 = 513 miles
•

• b.The total distance is 513 miles and you pay 10p for each mile you drive. So you would pay:
•

• 513 × 10 = 5,130p
•

• You would not usually express an amount of money in this way, so let’s divide this total by 100 to find the amount in pounds:
•

• 5,130 ÷ 100 = £51.30
1. You need to use the mileage chart to compare the distances from Newcastle to Leeds and Newcastle to York.

Newcastle to Leeds is 94 miles.

Figure 20 Newcastle to Leeds on a mileage chart

Newcastle to York is 82 miles.

Figure 21 Newcastle to York on a mileage chart

So the training day in York is closer.

## Summary

You have now completed the activities on using distance charts. This will help you with everyday life when you are planning a journey and/or claiming mileage when travelling for work.

FSM_SSC_1

### Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371