In a flight of 6000 km an aircraft was slowed down due to bad weather . Its average speed for trip was reduced by 400km/hour and time increased by 30 minutes. Find the origina duration of time.
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Step-by-step explanation:
let the original speed of flight be x km/he
we know that
time=distance/speed
6000/x - 6000/x-400= 30
by solving
we get
x^2-400x-4800000
x^2-2400x+2000x-4800000
x(x-2400)+2000(x-2400)
(x+2000)(x-2400)
x cannot be zero
x=2400km/h
distance/original speed = time
6000/2400
5/2hr = time
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