A car travels 120 kilometers in 2 hours. For the next 3 hours, it increases its speed by 20 kilometers per hour. How far does the car travel in total? - Decision Point
Full Solution: How Far Does a Car Travel When Speed Increases After an Initial Trip?
Full Solution: How Far Does a Car Travel When Speed Increases After an Initial Trip?
When a car travels efficiently over time, understanding its speed changes helps calculate total distance accurately. In this scenario, a car travels 120 kilometers in 2 hours at a constant speed, then increases its speed by 20 kilometers per hour (km/h) for the next 3 hours. This article breaks down the full journey step-by-step and reveals the total distance covered.
Understanding the Context
Initial Speed Calculation
First, determine the car’s initial speed during the first 2 hours.
- Distance = 120 km
- Time = 2 hours
Speed = Distance ÷ Time
Speed = 120 km ÷ 2 h = 60 km/h
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Key Insights
So, the car travels at 60 km/h for the first part of the journey.
Speed Increase After 2 Hours
After the first 2 hours, the car increases its speed by 20 km/h:
New Speed = Initial Speed + 20 km/h = 60 km/h + 20 km/h = 80 km/h
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Distance Traveled in the Next 3 Hours
Now, calculate the distance covered during the increased-speed phase:
- Speed = 80 km/h
- Time = 3 hours
Distance = Speed × Time
Distance = 80 km/h × 3 h = 240 km
Total Distance Traveled
To find the overall distance, add the distances from both phases:
- First leg: 120 km
- Second leg: 240 km
Total Distance = 120 km + 240 km = 360 km
