One morning, Justin drove 4 hours before stopping to eat lunch at Chick-fil-A. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 7 hours of driving time, how fast did he drive in the morning?

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not need direction to represent.

The speed will be calculated as below:-

Let x represent Justin's speed in the morning. Given that one morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A.

Distance = Speed x Time

Distance covered by Justin in 4 hours would be 4x. After lunch, he increased his speed by 10 mph; so his new speed would be x + 10.

We are also told that he traveled a 450-mile trip in 7 hours. The time he drove after lunch would be .

7-4=3 hours

Distance covered by Justin in 5 hours after lunch would be.

3 ( x + 10 )

Equate the distance traveled before and after lunch to solve for x as:

4x + 3 ( x + 10 ) = 450

4x + 3x + 30 = 450

7x + 30 = 450

7x = 420

x = 420 / 7

x = 60 miles per hour

Therefore, the speed will be 60 miles per hour.

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