in a flight of 600km an aircraft was slowed down due to bad weather. its average speed for the trip we reduced to 200km/hr and the time increased by 30 minutes. find the duration of the flight?
We already know that the total flight time was 6 hours.
Since the trip took 1200/200 = 6 hours, and distance = speed * time,
200(t + t + 1/2) = 1200
t = 2.75
So the first part took 2.75 hrs, and the 2nd part took 3.25 hrs
To find the duration of the flight, we can use the formula:
Duration = Distance / Speed
Let's denote the original speed of the aircraft as "x" km/hr.
According to the problem, the distance of the flight is 600 km and the average speed was reduced to 200 km/hr.
So, the equation becomes:
Duration = 600 km / 200 km/hr
Simplifying this, we get:
Duration = 3 hours
Now, we need to consider the impact of the bad weather, which reduced the average speed. It is mentioned that the time increased by 30 minutes.
Since the original duration of the flight was 3 hours, we need to add 30 minutes (or 0.5 hours) to it. This gives us:
Total Duration = 3 hours + 0.5 hours
Simplifying this, we get:
Total Duration = 3.5 hours
Therefore, the duration of the flight, including the 30-minute delay due to bad weather, is 3.5 hours.