Final answer:
The two families will drive past the same mile marker at 6:00 pm.
Step-by-step explanation:
To find the time when the two families will drive past the same mile marker at the same time, we need to determine the rate at which each family is traveling.
First, we calculate the rate of travel for the Wheelers by finding the difference in the mile markers and dividing by the difference in time:
Rate = (175 - 45) / (5:00 pm - 3:00 pm) = 130 / 2 = 65 mph
Next, we calculate the rate of travel for the Byers using the same method:
Rate = (295 - 230) / (7:00 pm - 6:00 pm) = 65 mph
Since both families are traveling at the same rate of 65 mph, they will drive past the same mile marker at the same time. Therefore, the two families will drive past the same mile marker at 6:00 pm.