Foundation June 2025 Paper 2 Q17
17. Use the information below to answer the following questions.
| 1 mile = 1·6 kilometres (km) 1 gallon = 4·5 litres |
(a)
Heidi is travelling to Exeter on the M5 motorway.
Motorway signs display the distances in miles.
| M5 The South West | |
|---|---|
| Weston-s-Mare | 10 |
| Taunton | 32 |
| Exeter | 64 |
Heidi passes the sign shown above at 5:35 p.m.
She intends to travel at an average speed of 80 km/h for the remainder of her journey to Exeter.
At what time does Heidi expect to arrive in Exeter?
Give your answer to the nearest minute.
You must show all your working. [5]
(b)
At the start of the journey, Heidi stopped at a garage to fill her fuel tank with diesel.
The cost of diesel was £1.52 per litre.
Heidi spent £102.60 on diesel.
How many gallons of diesel did Heidi buy? [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{64 \times 1.6}{80}\) × 60 or \(\dfrac{64}{80 \div 1.6}\) × 60 oe | M3 | May be seen in stages. M2 for one of the following:
|
| = 76.8 or 77 (minutes) or 1 hour 16.8 minutes or 1 hour 17 minutes | A1 | CAO |
| 18:52 or 6:52 pm | B1 | FT ‘their 77’ provided M3 awarded Allow 6:52 but not 6:52 am or 06:52 If no marks, or if only M1 has been awarded, award M0 SC3 for a final answer of 19:42 or 7:42 pm (from use of 106 miles \(\dfrac{(10+32+64) \times 1.6}{80}\) × 60) |
| Scheme | Marks | Comments |
|---|---|---|
| 102.6(0) ÷ 1.52 ÷ 4.5 or \(\dfrac{102.6(0)}{1.52 \times 4.5}\) | M2 | M1 for one of the following:
|
| = 15 | A1 | |
| (8) |