Three towns are located on the earth’s surface at the co-ordinates P(15⁰N, 45⁰E)

Three towns are located on the earth’s surface at the co-ordinates P(15⁰N, 45⁰E), Q(30⁰S, 45⁰E) and R(15⁰N, 90⁰E). A plane A flies from P to Q in 6 hours 40 minutes using the shortest route between the two towns. Another plane B takes off from town P at the same time as A and flies to town R along the parallel of latitude.

(a) Calculate the shortest distance between towns P and Q in km.
(b) Find the distance in km traveled by plane B between P and R to the nearest km
(c) If the two planes fly at the same speed determine to the nearest minute, which plane Reaches its destination earlier and by how long.
(Take pi=22/7 and radius of earth R = 6370km)

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Wilfykil answered the question on September 11, 2019 at 10:08

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