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Q1. (a) Two ships heading on reciprocal courses pass each other. One ship has a speed of 6.5 knots greater than the other.

Three hours after passing each other the ships are 111.3 nautical miles apart.

Calculate the speed of EACH ship. (8)

(b) A ship’s fuel consumption varies inversely as the calorific value of the fuel and directly as the square of the ship’s speed.

The ship burns 28 tonnes of fuel per day of calorific value 42 MJ/kg when sailing at 14 knots.

Determine the daily consumption when the ship is burning fuel of calorific value 44 MJ/kg and sailing at 17 knots. (8)