Math Problem Statement

19 . 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. Find the duration of flight.

Solution

Let the original average speed of the aircraft be xx km/h, and the original time of flight be tt hours.

Step 1: Set up equations

  • The distance of the flight is 600 km.
  • Original speed: xx km/h.
  • The original time of flight would be:

t=600xt = \frac{600}{x}

  • The reduced speed due to bad weather is x200x - 200 km/h.
  • The new time of flight is increased by 30 minutes (or ( \