This GMAT quant practice question is from rates - speed, distance, and time. Concept covered: computing average speed of travel.

#### Question: Steve traveled the first 2 hours of his journey at 40 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?

- 60 mph
- 56.67 mph
- 53.33 mph
- 64 mph
- 66.67 mph

#### Explanatory Answer

Video explanation will be added soonAverage speed of travel = \\frac{\text{Total distance travelled}}{\text{Total time taken}}\\)

Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.

Distance covered in the first 2 hours = speed * time = 40 * 2 = 80 miles.

Distance covered in the next 3 hours = speed * time = 80 * 3 = 240 miles.

Therefore, total distance covered = 80 + 240 = 320 miles.

Total time taken = 2 + 3 = 5 hours.

Hence, average speed = \\frac{\text{Total distance travelled}}{\text{Total time taken}} = \frac{320}{5}\\) = 64 miles per hour.

Choice D is the correct answer.

Note: If Steve had traveled equal amount of time at 40 mph and 80 mph, his average speed will be the arithmetic mean (or simple average) of the two speeds.

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