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Q2. (a) A hydrofoil on a ferry run takes 6 minutes to overtake a vessel on a parallel course 3 nautical miles ahead.

On the return journey the hydrofoil takes 4 minutes to pass the same vessel which is still on the same course and speed, again from a distance of 3 nautical miles.

Calculate the speed of the hydrofoil and the vessel. (8)

(b) Make p the subject of the following formula:

t = r(√(f + r)/(f - p) - 1) (8)