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?

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Business

Ethen Brock

1 April, 22:18

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?

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Beckham Vaughn · Answer 1

The driver was going 55 mph.

Two hours is not enough to change the first digit of 15951, therefore, 1 is the first and last digit of the new number. The fourth and second digits converted to 6 and the middle digit could either by 0, 1, 2, 3, ...,9. Therefore, the driven miles will be 110, 210, 310, ... respectively.

So in two hours, the car would have sped up at 55 mph, 105 mph, 155 mph, ... respectively.