SOLUTION: Please help me solve this problem. Thank you, David R jody is driving at a constant rate. she passes a milepost that displays a two-digit number. exactly on hour later, she pa

Question 586130: Please help me solve this problem.
Thank you,
David R
jody is driving at a constant rate. she passes a milepost that displays a two-digit number. exactly on hour later, she passes a second milepost that displays the same two digits in the reverse order. one hour later, she passes a third milepost with the original two digits separated by a zero. what is her rate in miles per hour?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
Let assume first number is xy ie. 10x+y
second number is 10y+x,
third number is 100x+ y

Difference between first and second = distance between second and third.

=> 10y +x -(10x+y) = 100x+y - (10y+x)

after solving this we get, y = 6x

so, only possible value of x is 1, otherwise y will become two digit number.

so, numbers are 16, 61 and 106.

speed = 61-16 = 45 miles per hour.

if any doubt, feel free to ask....

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