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Calculate Truck Driving Distance in 1 Hour Given 48 Miles in 45 Minutes
Mathematics
Grade 6
Question Content
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck driver drive in one hour?
Correct Answer
64 miles
Detailed Solution Steps
1
Step 1: Convert the given time to hours to match the target time unit. 45 minutes = 45/60 = 0.75 hours.
2
Step 2: Calculate the constant speed of the truck using the formula speed = distance ÷ time. Speed = 48 miles ÷ 0.75 hours = 64 miles per hour.
3
Step 3: Since we need the distance traveled in 1 hour, multiply the speed by 1 hour: 64 miles/hour × 1 hour = 64 miles.
Knowledge Points Involved
1
Unit Conversion of Time
This refers to converting time units between minutes and hours using the conversion factor 1 hour = 60 minutes. It is used to ensure consistent units when calculating speed, which requires time to be in hours for miles per hour (mph) units.
2
Speed, Distance, Time Relationship
The core formula is speed = distance ÷ time, with derived formulas distance = speed × time and time = distance ÷ speed. It applies to problems involving constant rate motion, where speed does not change over the travel period.
3
Unit Rate Calculation
A unit rate is a ratio that compares a quantity to 1 unit of another quantity (e.g., miles per 1 hour). It is calculated by dividing the total quantity by the total number of units, and it is used to predict quantities for a single standard unit of measurement.
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