Question

A car travels at a speed of 60 miles per hour. How far will the car travel in 45 minutes?

• A. 45 miles
• B. 50 miles
• C. 55 miles
• D. 60 miles

Hint:

A speed of 60 miles per hour is equivalent to 1 mile per minute. So, in 45 minutes, the car travels 45 miles. This mental shortcut is very useful for this specific speed.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This problem requires using the distance, speed, and time formula. It also involves a unit conversion from minutes to hours.
Step 2: Key Formula or Approach:
Distance = Speed \(\times\) Time
Ensure that the units for speed and time are compatible.
Step 3: Detailed Explanation:
The speed is given as 60 miles per hour.
The time is given as 45 minutes. To use the formula, we must convert minutes to hours.
\[ \text{Time in hours} = \frac{45 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{3}{4} \text{ hours} = 0.75 \text{ hours} \] Now, calculate the distance:
\[ \text{Distance} = 60 \frac{\text{miles}}{\text{hour}} \times 0.75 \text{ hours} \] \[ \text{Distance} = 45 \text{ miles} \] Step 4: Final Answer:
The car will travel 45 miles in 45 minutes. This corresponds to option (A).