2.1 Adding distances

Answer

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

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     A mileage chart showing the distances between Edinburgh, Birmingham, Cardiff, Dover, Leeds, Liverpool, London, Manchester, Newcastle and York. The distance between Cardiff and London is highlighted (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

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     A mileage chart showing the distances between Edinburgh, Birmingham, Cardiff, Dover, Leeds, Liverpool, London, Manchester, Newcastle and York. The distance between Cardiff and Liverpool is highlighted (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

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     A mileage chart showing the distances between Edinburgh, Birmingham, Cardiff, Dover, Leeds, Liverpool, London, Manchester, Newcastle and York. The distance between Liverpool and London is highlighted (198 miles).

     Figure 19 Liverpool to London on a mileage chart

     So the total distance is:

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  • 150 + 165 + 198 = 513 miles

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

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  • 513 × 10 = 5 130p

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  • 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:

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  • 5 130 ÷ 100 = £51.30

2. You need to look up all the distances and then add them together. Cardiff to Manchester is 173 miles; Manchester to York is 66 miles; and York to Cardiff is 231 miles. So the total distance is:
   • 173 + 66 + 231 = 470 miles