Weekly puzzle 16
Free Gas!
Andy drives to work, and then home the same way, for a total round trip of 21 miles every day. Along the route is a gas station which is offering free gas if, when filling up a tank to the very top, the price consists of repetitive digits, i.e. $1.11, $2.22 etc..
Gas costs 30 cents per gallon and Andy knows that his car does exactly 15 miles to the gallon. Assuming Andy does no other driving and takes the same exact route every day, he works out that once he fills his tank at the station, he can get all subsequent gas free.
If the station is an integral number of miles from Andy’s home, how far away is it?
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Just to be true to my tradition of presenting obfuscated answers, mine is one root of the polynomial X^3-8X^2-7X-18 (it isn’t related to the process of finding THE solution in any way… is just a not too complicated way of saying a number to one who already knows it… to see if it is the same, substitute the X’s by it and see if the polynomial gives zero).
Very cool puzzle, I agree.
If that was possible I’d want that car !!
my answer assumes his car does less than 3000 miles to a tank!
i think i’ve got it but won’t spoil just yet
cool puzzle.