Numeracy Foundation June 2017 Unit 2 Q8
8. Glenda plans to drive from Flint to Cardiff.
On a long journey, her average speed is usually 42 mph.
Last time she drove from Flint to Cardiff it took her \(3\frac{1}{2}\) hours.
(a)
Use this information to calculate the distance between Flint and Cardiff. [2]
…………… miles
(b) Give a possible reason why your answer in (a) is only an estimate of the distance between Flint and Cardiff. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 42 × 3½ 147 (miles) | M1 A1 | Do not accept 42 × 3.3 or 42 × 210 |
| Scheme | Marks | Comments |
|---|---|---|
| Reason, accept any reasonable response based on information given not being totally accurate, e.g. ‘traffic could be different’, ‘doesn’t mean Glenda’s average speed for the Flint to Cardiff journey will be 42 mph’, ‘3½ hours might have been given to the nearest ½ hour’, ‘might not have been exactly 3½ hours’, ‘average speed could be different’, 'only know the average speed for one journey' | E1 | Do not credit a correct reason if a contradiction is given Allow, e.g ‘she could drive faster (or slower)’, ‘she may have gone a longer route’, ‘she may have taken a shorter route’, ‘we don’t know how long she will take this time’, ‘she could drive faster and get there in less time’, ‘because the calculation was the average distance’, Do not accept the idea that this journey was at an average speed of 42mph but that her speed changed during her journey, e.g. ‘it was her average, she might have gone faster for a while and slower for a while’, ‘her speed may have changed over her journey’, ‘she could have stopped on the journey’, ‘I don’t know the exact distance’, ’42 mph means she would have to be travelling at this speed all the way’, Do not accept 'only know the average speed' |