SOLUTION: While John is driving his car, he notices that the odometer reads 13931 miles. The mileage is a palindrome, a number that reads the same forward as it does backward. Exactly 2 hour

Question 139784: While John is driving his car, he notices that the odometer reads 13931 miles. The mileage is a palindrome, a number that reads the same forward as it does backward. Exactly 2 hours later, John notices that the odometer displays a different palindrome. What is the most likely average speed at which the car has been traveling?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
As he is driving along, the next time the odometer has 31 on the end is 100 miles later, but that means that the reading would be 14031, but in another 10 miles, it would read 14041 and we would have our next palindrome. 100 + 10 = 110 miles. 110 miles in 2 hours is 55 mph. The next palindrome would occur at 14141, 210 miles after the first one. 210 miles in 2 hours is 105 mph. I don't think so. If he didn't wreck the car, some fat-bellied sheriff would get him.
RELATED QUESTIONS
The odometer of a family car shows 15,951 miles. The driver noticed that this number is... (answered by richwmiller,MathTherapy)

John filled the gas tank of his car with 32.4 litres of gas just before starting on a... (answered by ankor@dixie-net.com)

A group of students are riding in a school bus during a field trip. The bus driver... (answered by mathslover)

When the odometer in Tribet Car reads 16,741,3 he fills gas tank the next time he fills... (answered by checkley79)

The odometer of the family car shows 15,951 miles. The driver noticed that this number is (answered by josgarithmetic)

Hans was driving his car when he noticed that his odometer read 15951. Hans noticed that... (answered by rapaljer)

John filled the gas tank of his car with 32.4 litres of gas just before starting on a... (answered by Alan3354)

The odometer reading on your car is 23,134.8 miles at the start of a trip. When you get... (answered by ReadingBoosters)

Susan�s odometer displays 15,951 miles, a palindrome. What is the minimum number of miles (answered by josmiceli)