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  • In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased by 200 km/hr and thus the time of flight increased by 30 minutes. Find the average speed of the aircraft originally. <

In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased by 200 km/hr and thus the time of flight increased by 30 minutes. Find the average speed of the aircraft originally. 
Option: 1
Option: 2
Option: 3
Option: 4

Answers (1)

\\ $ Let average speed of aircraft be x km/hr $ \\ $ATQ $ \\\\ \frac{600}{x-200}-\frac{600}{x}=\frac{30}{60} \\\\ \frac{600(x - (x-200))}{x(x-200)} = \frac{1}{2} \\\\ {x(x-200)} =1200 (200) \\\\ x^{2}-200 x-240000=0 \\ (x-600)(x+400)=0 \\ x=600 \ \mathrm{km} / \mathrm{h} \\ $ Hence the original speed of aircraft was =600 km/hr

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