Two cars, Car A and Car B, are traveling on a highway. Car A starts from point \(X\) and travels at a constant speed of 60 km/h, while Car B starts from the same point \(X\) but travels at a constant speed of 80 km/h. If both cars travel for 1.5 hours, what is the difference in distance covered by Car B compared to Car A?
Step-by-step Solution:
Here are two simple ways to solve this problem.
1. Find the distance covered by each car: - We use the formula: Distance = Speed × Time.
- Distance of Car A = 60 km/h × 1.5 hours = 90 km.
- Distance of Car B = 80 km/h × 1.5 hours = 120 km.
2. Find the difference: - Difference = Distance(B) - Distance(A) = 120 km - 90 km = 30 km.
1. Find the difference in speeds: - Difference in Speed = 80 km/h - 60 km/h = 20 km/h.
- This means Car B travels 20 km farther than Car A every hour.
2. Calculate the total difference in distance: - Difference in Distance = Difference in Speed × Time
- Difference in Distance = 20 km/h × 1.5 hours = 30 km.
Final Answer: The difference in the distance covered is 30 KM.