Problem
HW Score: $41.67 \%, 5$ of 12 1.3 Question 8, 1.3.47 points Points: 0 of 1 Save A palindromic number is a number whose digits read the same left to right as right to left. For example, 383, 12,321, and $9,876,789$ are palindromic. The odometer of the family car read 15,951 when the driver noticed that the number was palindromic. "Curious," said the driver to herself. "It will be a long time before that happens again." But 2 hours later, the odometer showed a new palindromic number. Assuming it was the next possible one, how fast was the car driving in those 2 hours? The car was driving miles per hour.
Solution
Step 1 ：First, we need to find the next palindromic number after 15,951. This number is 16,061.
Step 2 ：Next, we subtract the initial odometer reading from the final reading to find the distance travelled. This is calculated as \(16,061 - 15,951 = 110\) miles.
Step 3 ：Finally, we divide the distance travelled by the time it took to travel that distance to find the speed of the car. This is calculated as \(\frac{110}{2} = \boxed{55}\) miles per hour.
