A car travels a distance of 180 miles in 3 hours. If the car increased it's rate of travel by 50% after the first hour of driving, what was the car's rate of travel for the rest of the trip?

Answer 1

180 miles for 3 hours

1 hour at s mph, then 1.5s mph for 2 hours

distance = speed times time

45 mph for 1 hour, going 45 miles

then 67.5 mph for 2 hours going 135 miles

let s = 1st speed

s +1.5s(2) = 180

4s = 180

s = 180/4 = 45

1.5s = 1.5(45) = 67.5 mph