Question

In a flight of 600 km, a aircraft was slowed down due to bad whether. Its average speed for the trip was reduce by 200km/hr and the time of flight increased by 30 minutes.Find the duration of the flight.

Answer 1

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GET THE VALUE

ANS :-1H

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Answer 2

SOLUTION

Let x be the original speed of the aircraft (in km/hr)

Then,

New speed = (x-200) km/hr

Duration of flight at original speed= 600/x hrs

Duration of the flight at reduce speed

=) (600/x-200)hr

A/q

=) 600/x-200 - 600/x = 1/2

=) x^2 -200x- 240000 =0

=) x^2 -600x+ 400x - 240000=0

=) (x-600) (x+400) =0

=) x-600= 0 or x+400=0

=) x= 600 , x= -400

Since x can not be negative,

Since x can not be negative, therefore x= 600

Original speed= 600km /hr

Hence,

Duration of flight= 600/x = 600/600

=) 1 hrs.

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