A vehicle travels 150 miles at 50 mph and then returns the same 150 miles at 75 mph. What is its average speed for the whole trip?
Show answer & explanation
Answer: A
60 mph: Correct. Time = 150/50 + 150/75 = 3 + 2 = 5 hours. Average speed = 300 miles / 5 hours = 60 mph.
62.5 mph: This averages the two speeds. The vehicle spends more time at the slower speed, so the true average is lower.
65 mph: This has no basis in the trip data. It is above the simple average of the two speeds.
58 mph: This is too low. Total distance divided by total time gives exactly 60 mph.
Average speed = total distance / total time. Never simply average the speeds when the time spent at each is different.