Final answer:
The average speed of the Zephyr train was 124.76 km/h and 34.65 m/s.
Step-by-step explanation:
To find the average speed of the Zephyr train, we divide the total distance traveled by the time taken. The total distance traveled was 1633.8 km, and the time taken was 13 hours, 4 minutes, 58 seconds. To convert the time taken to hours, we convert the 4 minutes and 58 seconds to hours by dividing them by 60, and then add them to the 13 hours. Finally, we divide the total distance by the total time in hours to find the average speed in km/h.
- Convert 4 minutes and 58 seconds to hours: 4/60 + 58/3600 = 0.066 + 0.016 = 0.082 hours
- Convert the total time to hours: 13 + 0.082 = 13.082 hours
- Calculate the average speed: 1633.8 km / 13.082 hours = 124.76 km/h
The average speed of the Zephyr train was 124.76 km/h.
To convert the average speed to m/s, we divide it by 3.6 since 1 km/h is equal to 1/3.6 m/s. So, we get:
124.76 km/h / 3.6 = 34.65 m/s
The average speed of the Zephyr train was 124.76 km/h and 34.65 m/s.