in a flight of 600km, a aircraft was slowed down due to bad weather.Its average speed for the trip was reduced by 200km/hr and the time of the flight increased by 30min. Find the duration of flight. This question came in my board exams. I solved it using pair of linear equations in two variables instead of quadratic equations. Finally I wrote the duration of flight as 1.5 hrs.(duration after getting slowed down) and not 1 hr.(original duration). It was a three mark Question. Will marks be deducted?
Answers
Answer:
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 =(
x
600
)hr
Duration of fight at reduced speed =(
x−200
600
)hr
∴
x−200
600
−
x
600
=
2
1
⇒
x(x−200)
600x−600(x−20)
=
2
1
⇒
x
2
−200x
120000
=
2
1
⇒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 =(
x
600
)hr=(
60
600
)hr=1hr
don't worry if you have done the rest part of the answer in your board exam correct you will definitely get step marking
HOPE YOU LIKED THE ANSWER
MARK ME AS THE BRAINLIEST
I ALSO GAVE BOARD EXAM OF CLASS 10 THIS YEAR AND ATTEMPTED THUS ANSWER CORRECTLY
Answer:
This is the correct answer, hope it will help you.
