car moves with a speed of 30 km/h–1 for half an hour, 25 km/h–1 for one hour and 40 km/h–1 fortwo hours. Calculate the average speed of the car

To calculate the average speed of the car, we need to know the total distance travelled and the total time taken.

1. Calculate the distance travelled at each speed:

   • At 30 km/h for 0.5 hours, the car travels 30 km/h * 0.5 h = 15 km.
   • At 25 km/h for 1 hour, the car travels 25 km/h * 1 h = 25 km.
   • At 40 km/h for 2 hours, the car travels 40 km/h * 2 h = 80 km.

2. Add up these distances to find the total distance travelled:

   • Total distance = 15 km + 25 km + 80 km = 120 km.

3. Add up the time taken at each speed to find the total time taken:

   • Total time = 0.5 h + 1 h + 2 h = 3.5 hours.

4. Finally, calculate the average speed by dividing the total distance by the total time:

   • Average speed = Total distance / Total time = 120 km / 3.5 h = 34.29 km/h.

So, the average speed of the car is approximately 34.29 km/h.