Math Problem Statement

A car is traveling at 10 miles per hour during rush hour. How far does the car travel in 8 minutes?

Solution

To calculate how far the car travels in 8 minutes at a speed of 10 miles per hour, we need to follow these steps:

Step 1: Convert time from minutes to hours.

Since the speed is given in miles per hour, we must convert 8 minutes into hours.

8 minutes=860 hours=215 hours8 \text{ minutes} = \frac{8}{60} \text{ hours} = \frac{2}{15} \text{ hours}

Step 2: Use the distance formula.

The formula to calculate distance is:

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}

Here:

  • Speed = 10 miles per hour
  • Time = 215\frac{2}{15} hours

Now, calculate the distance:

Distance=10×215=2015=43 miles1.33 miles\text{Distance} = 10 \times \frac{2}{15} = \frac{20}{15} = \frac{4}{3} \text{ miles} \approx 1.33 \text{ miles}

Final Answer:

The car travels approximately 1.33 miles in 8 minutes.

Would you like more details or have any further questions?


Here are 5 related questions to expand on this concept:

  1. How far would the car travel in 15 minutes at the same speed?
  2. If the speed were doubled, how far would the car travel in 8 minutes?
  3. What would the travel time be for 5 miles at 10 miles per hour?
  4. How long would it take to travel 1.33 miles at a speed of 15 miles per hour?
  5. What is the relationship between speed, distance, and time?

Tip: When solving distance problems, always ensure the time units match the units of speed (e.g., convert minutes to hours if the speed is in miles per hour).

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Math Problem Analysis

Mathematical Concepts

Time Conversion
Distance Calculation
Unit Conversion

Formulas

Distance = Speed × Time

Theorems

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Suitable Grade Level

Grades 6-8