SOLUTION: Sir Robbin has covered 15951 miles in the service of King Arthur. He notices that this number is a palindrome. He continues riding and 4 hours later the total number of miles he ha
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-> SOLUTION: Sir Robbin has covered 15951 miles in the service of King Arthur. He notices that this number is a palindrome. He continues riding and 4 hours later the total number of miles he ha
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Question 764128: Sir Robbin has covered 15951 miles in the service of King Arthur. He notices that this number is a palindrome. He continues riding and 4 hours later the total number of miles he has ridden is another palindrome. At what speed did he ride? Answer by solver91311(24713) (Show Source):
Unless he is going something like 1000 miles per hour, he isn't going to roll the high digit. So the 1s digit has to be 1 to make a palindrome. Then he isn't going to get a 5 in the 10s digit unless he goes 100 miles. But if he goes 100 miles he rolls the 100s digit which has a carry to the 1000s digit. Now we have 16051 after 100 miles, so go another 10 miles to get 16061, the next palindrome number. 110 miles in 4 hours is 27.5 mph
John
My calculator said it, I believe it, that settles it
