Math Problem Statement

A car travels at an average speed of 64 miles per hour. How long does it take to travel 288 miles?

Solution

The problem asks:

"A car travels at an average speed of 64 miles per hour. How long does it take to travel 288 miles?"

To solve this, use the formula for time, which is:

Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}

In this case:

  • Distance = 288 miles
  • Speed = 64 miles per hour

Time=28864=4.5hours\text{Time} = \frac{288}{64} = 4.5 \, \text{hours}

So, the correct answer is 4.5 hours.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. If the car traveled 320 miles at the same speed, how long would it take?
  2. If the car's speed increased to 80 miles per hour, how long would it take to travel 288 miles?
  3. What is the distance the car would travel in 6 hours at 64 miles per hour?
  4. How long would it take to travel 500 miles at 50 miles per hour?
  5. How fast must the car travel to cover 288 miles in 3.5 hours?

Tip: For any problem involving distance, speed, and time, remember the formula triangle: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}.

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Math Problem Analysis

Mathematical Concepts

Distance, Speed, and Time Relationship

Formulas

Time = Distance / Speed

Theorems

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Suitable Grade Level

Grades 6-8