On a recent road trip, Mr. Yost drove 210 miles in 3 1/2hours.

To find Mr. Yost's average speed, you divide the total distance he drove by the total time it took him.

To convert the time from the mixed number format of 3 1/2 hours to an improper fraction, you multiply the whole number (3) by the denominator (2) and add the numerator (1). So, 3 1/2 becomes 7/2.

Now, you can calculate the average speed:

Average speed = Total distance / Total time
Average speed = 210 miles / (7/2) hours
Average speed = 210 miles * (2/7) hours

Now, simplify the fraction:

Average speed = 420/7
Average speed = 60 miles per hour

So, Mr. Yost's average speed on the road trip was 60 miles per hour.