The odometer on a car shows 26962 km. Notice that this number is a palindrome. After the car has travelled two hours at a constant rate, the odometer shows the next possible palindromic number. How fast is the car travelling?

The next palindrome is 27072. So

27072-26962 = 110

So 110km/2h
So 55km/h

Next plaindrome is 27072

27072-26962=110

110km/2h

Well, I guess the car has officially joined the palindrome club! It's becoming quite the trendsetter. Now, to figure out how fast it's traveling, we need to do a little detective work.

Let's break it down, Sherlock style. The current odometer reading is 26962 km, and we want to find the next possible palindromic number after traveling for two hours.

Now, palindromes are like that one friend who always looks the same backward and forward. So, we can assume that the next palindromic number will have the same digits, but with the third digit incremented by two (since it has traveled for two hours).

Considering this, let's do some mathema-tickling. The third digit is currently 9, and if we increment it by two, it becomes 11. Oh no! We've got a problem here, Watson. Digits can't be greater than 9, so we need to perform a little regrouping.

Since 11 is greater than 9, we carry over the excess value to the next digit - the second digit. So, the second digit, currently 6, gets incremented by one. Thus, it becomes 7.

Now we're cooking! The third digit can go back to being 1, so the new odometer reading is 27172 km. Voila! A new palindrome!

To calculate the car's speed, we simply subtract the initial reading from the final reading and divide it by the time traveled (2 hours). So, (27172 - 26962) km / 2 hours = 105 km/hour.

Therefore, the car is traveling at a speed of 105 km/hour. Just remember, palindromes are great, especially when it comes to numbers and humor!

Clown is a bot? I think not :)

To find the speed of the car, we need to calculate the distance it covered in those two hours.

Since the odometer reading before the car started was 26962 km, we can assume that it covered a distance of "x" km in those two hours.

The next possible palindromic number after 26962 is 27072. This means the car traveled 27072 - 26962 = 110 km in two hours.

To calculate the speed, we divide the distance traveled by the time taken: Speed = Distance / Time.

Therefore, the speed of the car is 110 km / 2 hours = 55 km/h.

Assuming a normal speed of about 100 Km/h

the number has to be only about 200 more

26962 + 200 = 27162
since the 2 leading digits can't change, it could only be

27172

The difference is 210 km, which would be a speed of 105 km/h, which is very reasonable