Question

If a plane travels at 280 miles per hour, how many miles will it travel in 12 minutes? A. 56 B. 45 C. 36 D. 28

Short answer

A. 56

Step-by-step solution

Convert the time to hours

To convert 12 minutes to hours, we need to divide the time in minutes by 60 (as there are 60 minutes in an hour): \[12 \text{ minutes} \times \frac{1 \text{ hour}}{60 \text{ minutes}} = 0.2 \text{ hour}\]

Use the distance formula

We know that the distance traveled is equal to speed multiplied by time. The given speed is 280 miles per hour, and we've just converted 12 minutes to 0.2 hour. Now, we can use the distance formula to find the distance: \[ \text{Distance} = \text{Speed} \times \text{Time} \]\[ \text{Distance} = 280 \text{ miles per hour} \times 0.2 \text{ hour} \]

Calculate the answer

Multiply 280 miles per hour by 0.2 hour to get the distance: \[280 \times 0.2 = 56 \text{ miles} \] So, the plane will travel 56 miles in 12 minutes. The correct answer is: A. 56