An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At thesame time, another aeroplane leaves the same airport and flies due west at a speed of1200 km per hour. How far apart will be the two planes afterhours?

Distance travelled by the plane flying towards north in = 1,000 *

= 1,500 km


Similarly, distance travelled by the plane flying towards west in = 1,200 *


= 1,800 km


Let these distances be represented by OA and OB respectively.


Applying Pythagoras theorem,


Distance between these planes after, AB =


= ( km


= km


= km


= km


= 300 km


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