The distance between Kanpur and Bangalore by flight is 1800 km An aircraft was slowed down due to ba...........

Quant (SSC) Time & distance

The distance between Kanpur and Bangalore by flight is 1800 km. An aircraft was slowed down due to bad weather. The time of journey of Bangalore from Kanpur is increased by 30 minutes and the average speed for the journey was reduced by 300 km/h. What is the usual duration of the flight if there is no bad weather?

3/2 hrs

4/5 hrs

6/5 hrs

2/3 hrs

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Explanation:

Let the usual duration of the flight be X hours
Usual speed of the flight = 1800 / x
Then, 1800/x - 1800/ x + 1/2 = 300
⇒ 1800/x - 3600 /2x - 1 = 300
⇒ X(2X + 1) = 6
⇒ 2X² + X – 6 = 0
⇒ X = 3/2 hrs