18. Pablo is the world's fastest jockey. He is running a race where he rides the first third (by distance) of the race at 60 mph (miles per hour), the second third of the race at 30 mph, and the final third of the race at 55 mph. What was Pablo's average speed during the race (in mph)? 19. Tasha wants to put up a picture in her living room. Her picture frame is 2 inches thick on all sides and has an outer perimeter of 66 inches. If the length of the picture frame is 2 times longer than its width, what is the length of Tasha's picture? 20. Jacob has created a language with 252 different syllables. Each syllable consists of one consonant followed by a vowel. If there are four more consonants than vowels, how many vowels are there in Jacob's alphabet? 21. Let a be a positive integer such that there are 9 positive multiples of a less than 100. Let b be a positive integer such that there are 19 positive multiples of b less than 100. How many positive multiples of ab are less than 100? 22. Justin wants to test if his new computer is working. He selects an arbitrary real number k from 0 to 10 inclusive, and asks his computer to find the root to the equation 3a + k =0. The probability that m the output of the computer is less than can be expressed as -, where m and n are relatively prime n positive integers. Compute m + n