In a flight of 600 km, an aircraft was slowed down due to bad weather. The average speed of the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of fligh

Question

In a flight of 600 km, an aircraft was slowed down due to bad weather. The average speed of the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of flight.

Accepted Answer

Step 1: Let actual speed $= x$ km/hr. A.T.Q: $\frac{600}{x - 200} - \frac{600}{x} = \frac{1}{2}$
Step 2: $x^2 - 200x - 240000 = 0$
Step 3: $(x - 600)(x + 400) = 0 \Rightarrow x = 600$ ($x = -400$ rejected)
Step 4: Duration of flight $= \frac{600}{600} = 1$ hr

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