Foundation November 2021 Paper 2 Q16
16. The speed of a boat is measured in knots (nautical miles per hour).
| Use: 1 knot = 1·852 km/h 0·625 mph = 1 km/h |
A search and rescue team has a speedboat and a jet ski.
Both vehicles set off from the same boathouse at the same time to rescue a sailor.
The speedboat travels at a constant speed of 50 knots.
The jet ski travels at a constant speed of 65 mph.
The sailor is rescued by the faster vehicle 15 minutes after it left the boathouse.
Which vehicle rescued the sailor and how many kilometres did it travel from the boathouse? [4]
Rescue vehicle was ………………
which travelled ……………… km
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Two correct conversions to enable a comparison. 50 knots = 58 mph OR 65 mph = 56 knots OR 50 knots = 92.6 km/h and 65 mph = 104 km/h
| B2 | Speeds may be in other units e.g. ‘per 15 mins’ B1 for one correct conversion seen Allow approximate values to be rounded or truncated to the nearest integer; | ||||||||||||
| \(104 \times \dfrac{15}{60}\) oe | M1 | FT provided at least B1 awarded and the larger of ‘their 65/0.625’ oe and ‘their 50 × 1.852’ oe is selected e.g. 104 ÷ 4 (= 26) | ||||||||||||
| Jet Ski and 26 km | A1 | FT If no marks, award SC1 for the speedboat travels 12.5 (nautical miles) in 15 mins and the jet ski travels 16.25 (miles) in 15 mins | ||||||||||||
| (4) |