Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Asked by Kiran Gupta 11 months ago
First part of the journey:
- Speed = 40 mph
- Time = 2 hours
- Distance = Speed × Time = 40 mph × 2 hours = 80 miles
Second part of the journey:
- Speed = 80 mph
- Time = 3 hours
- Distance = Speed × Time = 80 mph × 3 hours = 240 miles
Calculate the total distance and total time
- Total distance = Distance of the first part + Distance of the second part
Total distance = 80 miles + 240 miles = 320 miles
- Total time = Time of the first part + Time of the second part
Total time = 2 hours + 3 hours = 5 hours
Calculate the average speed
The average speed is given by the total distance divided by the total time.
Average speed = Total distance / Total time = 320 miles / 5 hours = 64 mph
Therefore, Steve's average speed for the entire journey is 64 mph.