One morning, justin drove 3 hours before stopping to eat lunch at chick-fil-a. after lunch, he increased his speed by 10 mph. if he completed a 530-mile trip in 8 hours of driving time, how fast did he drive in the morning?

60 miles per hour

Step-by-step explanation:

Let x represent Justin's speed in the morning.

We have been given that one morning Justin drove 3 hours before stopping to eat lunch at Chick-fil-A.

Distance covered by Justin in 3 hours would be .

After lunch, he increased his speed by 10 mph; so his new speed would be .

We are also told that he traveled 530-mile trip in 8 hours. The time he drove after lunch would be .

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

Now, we will equate distance traveled before and after lunch to solve for x as:

Therefore, Justin drove at a speed of 60 miles per hour in the morning.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632