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A student pilot was required to fly to an airport and the...

A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.

A.

270 km

B.

200 km

C.

360 km

D.

450 km

Correct answer is B

Speed = DistanceTime

⇒ Time = DistanceTime

Let D = distance between the two airports

∴ Time taken to get to the airport = D120 and Time taken to return =D150

Since total time of flight= 3hours,

D120+D150 = 3

15D+12D1800 = 3

27D1800 = 3

3D200=31

⇒ 3D = 200 x 3

∴ D =200×33= 200km