1)In a flight of 600km, an aircraft was slowed down
due to bad weather. Its average speed for the trip
was reduced by 200km/hr and the time increased by
30 minutes. Find the duration of the flight.
(ans. = 1 hours)
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Answers
Answered by
2
Question:
1)In a flight of 600km, an aircraft was slowed down
due to bad weather. Its average speed for the trip
was reduced by 200km/hr and the time increased by
30 minutes. Find the duration of the flight.
(ans. = 1 hours)
SALE
once
Answer:
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Answered by
0
Answer:
Let the original speed of the aircraft be x km/hr.
then new speed =(x−200) km.hr
Duration of flight at original speed =( x600 )hr
Duration of fight at reduced speed =( x−200600 )hr
∴
x−200600
−x600 = 21
⇒ x(x−200)
600x−600(x−20)
= 21
⇒ x 2 −200x120000 = 21
⇒x 2 −200x−240000=0⇒x
2−600x+400x−240000=0
⇒(x−600)(x+400)=0⇒x=600orx=−400⇒x=600
So, the origianl speed of the aircraft was 600km/hr
hence, duration of flight =( x600 )hr=( 60600 )hr=1hr
Step-by-step explanation:
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