During a flight of 900 km an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 300 km/h and the time of flight increased by 30 minutes. The original duration of the flight was:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1h.
Given:
During a flight of 900 km an aircraft was slowed down due to bad weather.
Its average speed for the trip was reduced by 300 km/h and the time of flight increased by 30 minutes
Formula used:
Speed = Distance/time
Calculations:
Original speed = 900/T
Due to bad weather, now the speed becomes = 900/T - 300
New time of flight = 900/(T + 0.5)
According to the question
⇒ (900/T) - 300 = 900/(T + 0.5)
⇒ (3/T) - 1 = 3/(T + 0.5)
⇒ T2 + 0.5T - 1.5 = 0
⇒ T = 1 hr