8. A helicopter pilot is planning a route from Milford Haven to Ruabon and then on to Swansea.
(a) To plan the flights, the pilot needs to find the bearings from a map.
(i) Find the bearing of Ruabon from Milford Haven. [1]
(ii) Find the bearing of Swansea from Ruabon. [1]
(b) The plan for the flight is shown below.
Journey
Average speed
Time
Milford Haven to Ruabon
90 mph
1 hour 20 minutes
Ruabon to Swansea
80 mph
1 hour 15 minutes
(i) Calculate the total distance of the flight. Give your answer in miles. You must show all your working. [4]
Total distance is …………… miles
(ii) On average, the helicopter uses 0·4 gallons of fuel per minute.
Remember: 1 gallon = 4·55 litres
Use this information to calculate how many litres of fuel the helicopter would be expected to use for the flight planned in (b)(i). You must show all your working. [5]
Fuel = …………… litres
Mark scheme (a)
Scheme
Marks
Comments
(i) 045(°) ± 2°
B1
Ignore any additional direction included, such as N(orth) E(ast) (or an incorrect direction) B0 for 45° ± 2° and/or N(orth) E(ast)
(ii) 202(°) ± 2°
B1
Mark scheme (b)
Scheme
Marks
Comments
(i) Sight of (Milford Haven to Ruabon) 90 × 1⅓ OR (Ruabon to Swansea) 80 × 1¼
M1
For the appropriate idea of speed × time. Allow sight of
90 × 80 (minutes)
80 × 75 (minutes)
90 × 1.3(3)
90 × 1.2(0)
80 × 1.15
(Milford Haven to Ruabon) 120 (miles) AND (Ruabon to Swansea) 100 (miles)
A2
CAO A1 for 90 + 30 or 80 + 20 or equivalent only provided there is no evidence of any misconception, e.g. (80 + 35)
(Total distance) 220 (miles)
B1
FT provided at least M1, A1 previously awarded
(ii) (Total time is) 155 (minutes), or for sight of 80 (minutes) and 75 (minutes)
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