Question

if a plane travels 300 mph, how many miles will it travel in 11 min?

a. 55 mi
b. 56 mi
c. 67 mi
d. 68 mi

Explanation:

Identify the given values and target

We are given the speed of a plane and a travel time:

• Speed: \(300\text{ mph}\) (miles per hour)
• Time: \(11\text{ min}\) (minutes)

We need to find the distance traveled in miles.

Convert time units from minutes to hours

Since the speed is in miles per hour, we must convert the travel time from minutes to hours.
We know that:

$$1\text{ hour} = 60\text{ minutes}$$

Thus, we convert \(11\text{ minutes}\) to hours:

$$t = \frac{11}{60}\text{ hours}$$

Calculate the distance traveled

Using the distance formula:

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

Substitute the values into the formula:

$$d = 300\text{ mph} \times \frac{11}{60}\text{ hours}$$

Simplify the expression

We can simplify the multiplication:

$$d = \frac{300 \times 11}{60}$$

$$d = 5 \times 11$$

$$d = 55\text{ miles}$$

Answer:

• (A) 55 mi (Correct answer)
• (B) 56 mi
• (C) 67 mi
• (D) 68 mi