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Question

An aeroplane leaves the airport and flies due north at a speed of 600 km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 800 km/hr. What will be the distance between two planes after 1 hour?

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Solution

Let point O be the airport

Flight B moves towards the north at a speed of 600 km/hr

Fight A moves towards the west at a speed of 800 km/hr

Distance OA=800×1=800 km

Distance OB=600×1=600 km

Distance between the flight after 1 hour = AB

Applying pythagoras theorem in triangle AOB

AB2=OA2+OB2

AB2=(800)2+(600)2

AB2=6400+3600

AB2=10000

AB =100 km


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