Question

An aeroplane leaves an airport and files due north at a speed of 1000 km/hr. At the same time, another aeroplane leaves the same airport and files due west at a speed of 1200 km/hr. How far apart will be the two planes after \(1\frac{1}2\) hours?

Answer 1

Distance traveled by the plane flying towards north in 11/2 hrs

= 1000 x 1\( \frac{1}2\) =1500km

Similarly Distance traveled by the plane flying towards west in 11/2hrs

= 1200 x 1 \( \frac{1}2\) =1800 km

Let this distance is represented by OA and OB

Distance between these place after 1\( \frac{1}2\)hrs AB = \(\sqrt{{OA^2+OB^2}}\)

=300 x 7.8102 

= 2343.07 km 

So, distance between these places will be 2343 km (Approx) km, after 1 1/2 hrs