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Omni-MATH / At the start of a 5 hour trip, the odometer in Jill's car indicates that her car…

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problem

At the start of a 5 hour trip, the odometer in Jill's car indicates that her car had already been driven 13831 km. The integer 13831 is a palindrome, because it is the same when read forwards or backwards. At the end of the 5 hour trip, the odometer reading was another palindrome. If Jill never drove faster than \( 80 \mathrm{~km} / \mathrm{h} \), her greatest possible average speed was closest to what value?
Plain-text mathematical notation (without MathML)
At the start of a 5 hour trip, the odometer in Jill's car indicates that her car had already been driven 13831 km. The integer 13831 is a palindrome, because it is the same when read forwards or backwards. At the end of the 5 hour trip, the odometer reading was another palindrome. If Jill never drove faster than \( 80 \mathrm{~km} / \mathrm{h} \), her greatest possible average speed was closest to what value?
Original LaTeX notation
At the start of a 5 hour trip, the odometer in Jill's car indicates that her car had already been driven 13831 km. The integer 13831 is a palindrome, because it is the same when read forwards or backwards. At the end of the 5 hour trip, the odometer reading was another palindrome. If Jill never drove faster than \( 80 \mathrm{~km} / \mathrm{h} \), her greatest possible average speed was closest to what value?

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