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Question 8, 1.3.47 points
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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.
Answer
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.
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.
