Bob is taking his son to look at colleges. the first college they plan to visit is 150 miles from their home. in the first hour they drive at a rate of 60 mph. if they want to reach their destination in 2 ½ hours, what speed must they average for the remainder of their trip?

Let's find the remaining distance they must travel.

Total distance-distance covered
150-60=90 mi

Now, we need to find the average speed they need to travel per hour to reach the destination in 2.5 (2 1/2) hours.

90 mi/2.5 h=36 mi/h

They must travel at an average speed of 36mph to reach their destination in 2 1/2 hours.

Check:
60+36(2.5)
=120 mi