Answer:
Step-by-step explanation:
Mr. Anderson drove 168 miles in 3 1/2 hours: d1 = 168 mi
t1 = 3 1/2 hr
t1 = 3.5 hr
v1 = the first rate
v1 = d1/t1
v1 = 168/3.5
v1 = 48 mph
He then drove 2 1/4 hours at a rate of 5 miles an hour faster than the first rate:
t2 = 2 1/4 hr
t2 = 2.25 hr
v2 = v1 + 5
v2 = 48 + 5
v2 = 53 mph
d2 = the distance
d2 = v2*t2
d2 = 53*2.25
d2 = 119.25 mi
during the total time 3 1/2 + 2 1/4 = 5 3/4 hr Mr. Anderson drove:
d1 + d2 = 168 + 119.25 = 287.25 mi.
Hope that helps :)