Me. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hours?

Answer: Anderson drove 287.25 miles during the 5 3/4 hours

Step-by-step 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