Respuesta :
Answer:
1 hour
Step-by-step explanation:
The formula for average speed is given as = Distance( km) / Time(hours)
From the question
Average Speed = 200km/hr
Distance = 100km
Time is unknown, let us represent it as x
In the question, we are told the weather was bad and the time of the flight increased by 30minutes
Therefore, we would have algebraic equation
100/(x-200) - 100/x = 1/2
Find the LCM = x(x - 200)
100(x) - 100(x - 200) /(x) (x -200) = 1/2
100x - 100x - 20000/ x² - 200x = 1/2
-20000/x² - 200x = 1/2
Cross Multiply
-40000 = x² - 200x
x² - 200x + 40000 = 0
Looking at this quadratic equation, we can't use factorisation method to find the answer.
This signifies that the question is wrong.
Correct Question:
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 of flight increased by 30 minutes. The duration of the flight is
Step-by-step explanation:
The formula for average speed is given as = Distance( km) / Time(hours)
From the question
Average Speed = 200km/hr
Distance = 600km
Time is unknown, let us represent it as x
In the question, we are told the weather was bad and the time of the flight increased by 30minutes
Therefore, we would have algebraic equation to find the speed of the journey as:
600/(x-200) - 600/x = 1/2
Find the LCM = x(x - 200)
600(x) - 600(x - 200) /(x) (x -200) = 1/2
600x - 600x + 120000/ x² - 200x = 1/2
240000/x² - 200x = 1/2
Cross Multiply
240000 = x² - 200x
x² - 200x - 240000 = 0
x² - 600x + 400x - 240000 = 0
x(x - 600) + 400( x - 600) = 0
(x - 600)(x + 400) = 0.
x - 600 = 0
x = 600 km/hr
x + 400 = 0
x = - 400 km/hr
Therefore, x = 600km/hr
Time = Distance / speed
Time = 600km/ 600km/hr
Time = 1 hour
Therefore, The duration of the flight is 1 hour.
