Higher June 2022 Paper 3 Q6
6 Jessica runs for 15 minutes at an average speed of 6 miles per hour.
She then runs for 40 minutes at an average speed of 9 miles per hour.
It takes Amy 45 minutes to run the same total distance that Jessica runs.
Work out Amy’s average speed.
Give your answer in miles per hour. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 10 | P1 | for a process to use distance = speed \(\times\) time for either of the parts of Jessica’s journey, eg \(6 \times \dfrac{15}{60}\ (= 1.5)\) or \(9 \times \dfrac{40}{60}\ (= 6)\) or \(6 \times 15\ (= 90)\) or \(9 \times 40\ (= 360)\) |
| P1 | for a process to add the 2 distances for Jessica, eg \(6 \times \dfrac{15}{60} + 9 \times \dfrac{40}{60}\ (= 7.5)\) or \(6 \times 15 + 9 \times 40\ (= 450)\) | |
| P1 | for complete process to find Amy’s average speed, eg \(\text{``}7.5\text{''} \div \text{``}0.75\text{''}\) oe or \(\text{``}450\text{''} \div 45\) | |
| A1 | cao |
Additional guidance
Must be consistent units at this stage.