Final answer:
Harvey the wonder hamster's average speed is calculated by dividing the distance he runs by the time taken. After conversion, Harvey's speed is 12 2/3 km/h or approximately 12.67 km/h, which is reasonable considering the given data.
Step-by-step explanation:
To calculate Harvey the wonder hamster's average speed in kilometers per hour, we must divide the distance he runs by the time it takes him to run that distance. Harvey runs 3 1/6 km in 1/4 hour. First, let's convert 3 1/6 to an improper fraction, which is (18/6 + 1/6) = 19/6 kilometers.
Next, we calculate the average speed using the formula:
Average Speed
Distance Traveled
/
Time Taken
Specifically, Harvey's average speed is (19/6) km / (1/4) h = (19/6) × (4/1) km/h = 76/6 km/h, which simplifies to 12 2/3 km/h or approximately 12.67 km/h.
Now let's check if this answer is reasonable. If Harvey runs 10 km in 1/3 of an hour, he would run three times that distance in one hour, or 30 km. Our solution is less than this, which makes sense given that Harvey's distance is also less than 10 km. Hence, Harvey's average speed of 12 2/3 km/h seems reasonable.