Higher June 2017 Paper 3 Q17
17 A train travelled along a track in 110 minutes, correct to the nearest 5 minutes.
Jake finds out that the track is 270 km long.
He assumes that the track has been measured correct to the nearest 10 km.
(a) Could the average speed of the train have been greater than 160 km/h?
You must show how you get your answer. (4)
You must show how you get your answer. (4)
Jake’s assumption was wrong.
The track was measured correct to the nearest 5 km.
(b) Explain how this could affect your decision in part (a). (1)
| Answer | Mark | Notes |
|---|---|---|
| No (supported) | P1 | for 265 or 275 or 274.999... or 107.5 or 112.5 or 112.4999... |
| P1 | process to find \(\dfrac{d}{t}\) where \(265 \leqslant d \leqslant 275\) and \(107.5 \leqslant t \lt 110\) oe | |
| P1 | for process to work in consistent units of time eg \(\dfrac{d}{t} \times 60\) or \(t \div 60\) where \(265 \leqslant d \leqslant 275\) and \(107.5 \leqslant t \lt 110\) oe or \(160 \div 60\ (= 2.666..)\) | |
| C1 | Conclusion supported with correct figure(s) given eg No and 153(.488..) or No and 2.66 to 2.7 and 2.5(581..) from correct working |
| Answer | Mark | Notes |
|---|---|---|
| Statement | C1 | e.g. Less distance in the same time so (max) speed would drop |