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In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the flight ?
  • a)
    2 hour
  • b)
    1.5 hour
  • c)
    0.5 hour
  • d)
    1 hour
Correct answer is option 'D'. Can you explain this answer?
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In a flight of 600 km, an aircraft was slowed down due to bad weather....
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In a flight of 600 km, an aircraft was slowed down due to bad weather....
Solution:

Given, distance travelled by aircraft = 600 km
Let the original speed of the aircraft be x km/hr
Now, due to bad weather, the average speed of the aircraft is reduced by 200 km/hr.
So, new speed of the aircraft = (x-200) km/hr
Also, the time of flight increased by 30 minutes or 0.5 hours.
Let the original time taken by the aircraft be t hours
So, the new time taken by the aircraft = (t+0.5) hours

We know that,
Speed = Distance / Time

Using this formula for original speed of the aircraft,
x = 600 / t

Using this formula for new speed of the aircraft,
(x-200) = 600 / (t+0.5)

Solving these two equations, we get
x = 800 km/hr
t = 3 hours

Therefore, the duration of the flight is 3 hours + 0.5 hours = 3.5 hours.

Hence, the correct option is (D) 1 hour.
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In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the flight ?a)2 hourb)1.5 hourc)0.5 hourd)1 hourCorrect answer is option 'D'. Can you explain this answer?
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