A car travels at a constant speed of 60 miles per hour for 3 hours, then increases its speed to 75 miles per hour for the next 2 hours. What is the total distance traveled by the car? - Redraw
How Far Does a Car Travel When It Drives at 60 mph for 3 Hours and Then 75 mph for 2 Hours?
Have you ever wondered how distance calculates in everyday driving? Someone cruises at a steady 60 miles per hour for three hours, then shifts to 75 mph for two more hoursβwhatβs the total distance covered? This simple scenario reflects real-world travel patterns, blending consistent and fluctuating speeds common across U.S. highways. Itβs a question that resonates beyond math class, capturing interest from everyday drivers, commuters, and those curious about vehicle efficiency.
Understanding the Context
Why Driving at These Speeds Attracts Attention Now
Recent trends in transportation efficiency, fuel economy, and travel behavior drive fascination with speed-based travel math. With rising fuel prices and growing awareness of carbon emissions, understanding how speed impacts distanceβand fuel useβfeels relevant. Many US drivers use mobile apps and online calculators to plan long trips, making this calculation a practical daily query. The blend of steady cruising and variable speeds mirrors real-world commuting and road trips, sparking curiosity about accuracy and practicality.
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Key Insights
How the Distance Is Calculated: A Straightforward Breakdown
To find the total distance traveled by a car moving at constant speed, use the simple formula:
Distance = Speed Γ Time.
First segment:
At 60 mph for 3 hours, the distance is:
60 miles/hour Γ 3 hours = 180 miles.
Second segment:
At 75 mph for 2 hours, the distance is:
75 miles/hour Γ 2 hours = 150 miles.
Adding both segments:
180 + 150 = 330 miles total.
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This calculation breaks down the journey into clear, logical stepsβaccessible for anyone seeking understanding without confusion.
Common Questions About This Travel Pattern
Q: Why combine different speeds during a single journey?
A: Drivers often start at consistent highway