Higher November 2017 Paper 1 Q9
9 James and Peter cycled along the same 50 km route.
James took \(2\dfrac{1}{2}\) hours to cycle the 50 km.
Peter started to cycle 5 minutes after James started to cycle.
Peter caught up with James when they had both cycled 15 km.
James and Peter both cycled at constant speeds.
Work out Peter’s speed. (5)
| Answer | Mark | Notes |
|---|---|---|
| 22.5 | P1 | for process to find James’ speed eg \(50 \div 2.5 (=20)\) or \(50 \div 150\ \left(=\dfrac{1}{3}\right)\) |
| P1 | for process to find James’ time for 15 km eg \(15 \div \text{``}20\text{''}\ (=0.75)\) or \(15 \div \dfrac{1}{3}\ (=45)\) | |
| P1 | for process to find Peter’s time for 15 km eg \(\text{``}45\text{''} - 5\ (=40)\) | |
| P1 | for process to find Peter’s speed eg \(15 \div \text{``}40\text{''}\) or \(15 \div \dfrac{\text{``}40\text{''}}{60}\) | |
| A1 | oe |