Ama has her own small aeroplane. One afternoon, she flies for 1 hour with a velocity of

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Ama has her own small aeroplane. One afternoon, she flies for 1 hour with a velocity of 120i + 160j km h−1 where i and j are unit vectors in the directions east and north.

Then she flies due north for 1 hour at the same speed. Finally, she returns to her starting point; flying in a straight line at the same speed.

Find, to the nearest degree, the direction in which she travels on the final leg of her journey and, to the nearest minute, how long it takes her.

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