Short Answer 
The car travels 252 kilometers at 63 km/h over 4 hours. If it travels the same distance at 56 km/h, it takes 4.5 hours, illustrating the inverse relationship between speed and time, which can be expressed mathematically as speed ‚àöo time = constant.
Step 1: Calculate the Distance
To find the distance traveled by the car, you can use the formula: Distance = Speed ‚àöo Time. Given that the car travels for 4 hours at a speed of 63 km/h, you can calculate the distance it covered as follows:
- Speed = 63 km/h
- Time = 4 hours
- Distance = 63 km/h ‚àöo 4 hours = 252 kilometers
Step 2: Determine Time at a Different Speed
If the car travels the same distance (252 kilometers) at a different speed of 56 km/h, you can find the time taken using the formula: Time = Distance / Speed. Here’s how it works:
- Distance = 252 kilometers
- New Speed = 56 km/h
- Time = 252 km / 56 km/h = 4.5 hours
Step 3: Understand the Inverse Relationship between Speed and Time
The relationship between speed and time shows that they vary inversely. This means that as speed increases, time decreases and vice versa. You can express this relationship mathematically:
- If speed is represented as s and time as t, then s = k/t.
- Using the example above with speed = 56 and time = 4.5, you find that k = speed ‚àöo time = 56 ‚àöo 4.5 = 252, which reaffirms your distance calculation.