Higher June 2019 Paper 2 Q6
6. A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car’s journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph. [5]
| Scheme | Marks | Comments |
|---|---|---|
| (First distance) \(45 \times 40 \div 60\) | M1 | (30 miles) |
| (Second distance) \(60 \times 25 \div 60\) | M1 | (25 miles) |
| (Total distance) 55 (miles) | A1 | CAO. May be implied in further working |
| (Overall average speed) \(55 \div (65/60)\) or equivalent in stages | m1 | FT ‘their 55’ depends on M1 previously awarded and 'their total distance' is the sum of two derived distances |
| 50.7(69...mph) or 50.8(mph) or 51(mph) | A1 | If no marks, award SC2 for an answer of 50.7(69...) from \((45\times40 + 25\times60)/(40 + 25)\) or equivalent |
| (5) |