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): You can put this solution on YOUR website!
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
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