Brain Teasers
Mad Ade's Odometer
Whilst out driving his car, a Madadian built "Wet Squib", Mad Ade observes that the odometer reading forms a palindromic number. It displays the mileage as 13,931.
Mad Ade continues driving. Two hours later, Mad Ade looks at the odometer again and, to his surprise, it displays a different palindromic number!
What is the most likely speed that Mad Ade is traveling?
Mad Ade continues driving. Two hours later, Mad Ade looks at the odometer again and, to his surprise, it displays a different palindromic number!
What is the most likely speed that Mad Ade is traveling?
Answer
55 mph.The next palindrome that the odometer could display is 14,041. To reach this value, Mad Ade will have to travel 110 miles. If it took him 2 hours to reach this point, his average speed would have been 55 mph.
All other palindromes would have required too many miles to produce a logical speed. For example, the odometer's next palindrome is 14,141. From this, you can calculate an average speed of 105 mph -- unlikely for a Madadian built car.
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