Taylor drove from Tampa to New Orleans; her trip took her a total of 9.5 hours. Her average speed for the drive was 69 mph. For 4.5 hours Taylor's average speed was 72 mph. What was her average speed on the remainder of the trip?

63.6 miles per hour (63.6 mph)

Step-by-step explanation:

We know D = RT

D is distance in miles

R is rate in mph

T is time in hours

Since Taylor took 9.5 hours with an average speed of 69 Miles an hour, total distance is:

D = RT

D = 69 * 9.5 = 655.5 miles

Now,

In 4.5 hours, he drove at 75 miles per hours, so distance he covered is:

75 * 4.5 = 337.5

So for the remaining 9.5 - 4.5 = 5 hours, he drove a distance of 655.5 - 337.5 = 318 miles. His rate would be:

D = RT

318 = R (5)

R = 318/5 = 63.6 miles per hour (63.6 mph)