Answer: Anderson drove 287.25 miles during the 5 3/4 hours
Explanation:
Mr. Anderson drove 168 miles in 3 1/2 hours(3.5 hours).
Speed = distance/time
This means that her speed is
168/3.5 = 48 miles per hour
He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. This means that the speed at which she drove is
48 + 5 = 53 miles per hour.
Distance = speed × time
Therefore, the distance that she drove in 2 1/4 hours(2.25 hours) is
2.25 × 53 = 119.25 miles
Therefore, the number of miles that Mr. Anderson drove during the 5 3/4 hours is
168 + 119.25 = 287.25 miles