Final answer:
To answer the student's question, we converted the speed from miles per hour to kilometers per hour by multiplying the speed in miles per hour by the conversion factor of kilometers to miles. Thus, the car would travel approximately 90.1224 kilometers in one hour at the constant speed.
Step-by-step explanation:
The student asked: if a car travels 42 miles, at a constant speed, in 3/4 of an hour, how many kilometers would it travel in 1 hour?
To find the speed of the car in miles per hour, we divide the distance traveled by the time. Thus:
- Speed = Distance / Time = 42 miles / (3/4 hour) = 42 miles / 0.75 hours = 56 miles/hour.
- Next, we need to convert this speed from miles to kilometers: 1 mile = 1.60934 kilometers, so 56 miles/hour * 1.60934 km/mile ≈ 90.1224 km/h.
- Therefore, at this constant speed, the car would travel 90.1224 kilometers in 1 hour.
We have used conversions and proportions to solve this problem. This answer deals with conversion of units, specifically from miles to kilometers, and is a basic principle found in speed and velocity calculations.