It took Mr. Jones 2 ¾ hours to travel to Chicago. If Chicago is 198 miles from his home, how fast was he traveling?:
To find the speed, we need to divide the distance traveled by the time taken.
Since Mr. Jones traveled for 2 ¾ hours, we need to convert this mixed number to an improper fraction.
To do this, we multiply the whole number (2) by 4 (the denominator of the fraction) and add the numerator (3). Thus, 2 * 4 + 3 = 11.
So, 2 ¾ hours is equal to \(\frac{11}{4}\) hours.
To find the speed, we divide the distance traveled (198 miles) by the time taken (11/4 hours).
198 / \(\frac{11}{4}\) = 198 * \(\frac{4}{11}\).
Multiplying the numerator and denominator gives us 198 * 4 = 792.
So, Mr. Jones was traveling at a speed of 792 miles per 11 hours.
To simplify this rate, we divide the numerator and denominator by their greatest common divisor, which is 11.
Thus, the simplified speed is \(\frac{792}{11}\) ÷ \(\frac{11}{11}\) = \(\frac{72}{1}\).
Therefore, Mr. Jones was traveling at a speed of 72 miles per hour. Answer: \boxed{72}.