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

Question

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.

Accepted Answer

Step 1: Let average speed of aircraft be $x$ km/h. $\frac{600}{x - 200} - \frac{600}{x} = \frac{1}{2}$
Step 2: $x^2 - 200x - 240000 = 0$
Step 3: $(x - 600)(x + 400) = 0 \Rightarrow x = 600$ km/h
Step 4: $	herefore$ Original speed $= 600$ km/h

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