document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #465211 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |