Question

An aircraft travels 1400 km at a speed of 700 km/h

and then runs into a headwind that reduces its speed
over the ground to 500 km/h for the next 800 km.
What is the total time for the flight? What is the
average speed?

Answer 1

The total time for the flight is 3.6 hours and the average speed is 611.11 km/h.

Step-by-step explanation:

To find the total time for the flight, we need to calculate the time taken for each leg of the journey and add them together. The first leg of the journey is 1400 km and the speed is 700 km/h, so the time taken is 1400/700 = 2 hours. The second leg of the journey is 800 km and the speed is 500 km/h, so the time taken is 800/500 = 1.6 hours. Adding these two times together, the total time for the flight is 2 + 1.6 = 3.6 hours.

To find the average speed, we need to calculate the total distance travelled and divide it by the total time taken. The total distance travelled is 1400 + 800 = 2200 km.

The total time taken is 3.6 hours. So the average speed is 2200/3.6 ≈ 611.11 km/h.