Final answer:
Carlos and his family will arrive in Austin at approximately 8:46 am if they leave Dallas at 4:30 am and travel at a speed of 60 miles per hour.
Step-by-step explanation:
To find the time it will take for Carlos and his family to travel from Dallas to Austin, we can use the formula: Time = Distance ÷ Speed.
Given that the distance from Dallas to Austin is 196 miles and they are traveling at a speed of 60 miles per hour, we can substitute these values into the formula:
Time = 196 miles ÷ 60 miles per hour.
Dividing 196 by 60 gives us approximately 3.27 hours. Since there are 60 minutes in an hour, we can convert this to minutes by multiplying 3.27 by 60. This gives us approximately 196 minutes.
Therefore, Carlos and his family will arrive in Austin at approximately 4 hours and 16 minutes after leaving Dallas, which would be approximately 8:46 am.