Final answer:
To find the number of additional days it will take to reach the destination, divide the remaining distance by the fraction covered per day. 5/28 of the total distance per day.
Step-by-step explanation:
To find the number of days it will take to reach the destination, we need to determine the remaining fraction of the total distance that needs to be covered.
Since the family drives 5/7 of the total distance in 4 days, they cover a fraction of 5/7 / 4 = 5/28 of the total distance per day.
Therefore, the remaining fraction of the total distance is 1 - 5/7 = 2/7.
Since the total distance is 1250 miles, the remaining distance is 2/7 * 1250 = 357.14 miles.
To calculate the number of days it will take to cover the remaining distance at the same rate, we divide the remaining distance by the fraction covered per day: 357.14 miles / (5/28 miles/day) = 200.069 days. Rounded to the nearest whole number, it will take approximately 200 more days to reach the destination.