ECZ 2015 · O-Level Paper 1 — Earth Geometry

An aeroplane leaves a town P(33°N, 32°E) and flies due south to a town Q(12°S, 32°E). Given that it flew for 4 hours to cover the distance PQ, find the average speed of the aeroplane in km/h. (Take π to be 227and R = 6370 km)

  • A. 1 251.25 km/h
  • B. 5 005 km/h
  • C. 583.58 km/h
  • D. 2 502.50 km/h

Verified working — step 1

P and Q are on the same meridian and on opposite sides of the equator, so the angle between them is 33° + 12° = 45°. Distance = (45360) × 2 × (227) × 6370 = 5 005 km. Average speed = 5 005 ÷ 4 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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