1MA0 Higher June 2013 Paper 1 Q11
*11 Debbie drove from Junction 12 to Junction 13 on a motorway.
The travel graph shows Debbie’s journey.
Ian also drove from Junction 12 to Junction 13 on the same motorway.
He drove at an average speed of 66 km/hour.
Who had the faster average speed, Debbie or Ian?
You must explain your answer. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\dfrac{30}{24} \times 60 = 75\) | Debbie + explanation | 4 | M1 for reading 24 (mins) and 30 (km) or a pair of other values for Debbie M1 for correct method to calculate speed eg. \(30 \div 24\) oe A1 for 74 – 76 or for 1.2 – 1.3 and 1.1 C1 (dep on M2) for correct conclusion, eg Debbie is fastest from comparison of “74 – 76” with 66 (kph) or “1.2 – 1.3” and 1.1 (km per minute) OR M1 for using an appropriate pair of values for Ian’s speed eg 66 and 60, 33 and 30, 11 and 10 M1 for pair of values plotted on graph A1 for correct line drawn C1 (dep on M2) for Debbie is fastest from comparison of gradients. OR M1 for reading 24 (mins) and 30 (km) or a pair other values for Debbie M1 for Ian’s time for same distance or Ian’s distance for same time. A1 for a pair of comparable values. C1 (dep on M2) for Debbie is fastest from comparison of comparable values. |