An aeroplane flew due west for 3hours from P(50°N,70°W) to point Q at an average speed of 600km\hr, the aeroplane then flew south from Q to point Y 500km away. Calculate the longitude of Q and the latitude of Y

3 answers

1 degree of latitude is approximately 111 km. So, 500km south takes you to 50-500/111 = 4.5°N

Naturally, the longitude has not changed.
Similarly, for the westward leg,
1 degree of longitude is approximately
111 km*cos(50°)=71.3 km
Since plane was at 70°W, and flew westwards, the longitude would increase.

Use an accurate value of radius of the earth, R, to replace the 111 km.
Formula is
R*π/180.
Find speed then get titer and solve using great circle