Monday, May 12, 2008

A Cab ride in Chicago with a Friend

Cab fares in Chicago work like this: when the ride starts, the driver drops the flag on the meter. An immediate charge of $2.25 appears. This charge covers the first 1/9 of a mile. For each additional 1/9 of a mile, the meter adds 20 cents. Hence, for miles after the first, the charge is $1.80 per mile. (What is posted in the taxi is: "$2.25 flag drop, $1.80 each additional mile.")

There is a flat (doesn't depend on distance) "surcharge" for each additional passenger.

The distance from your hotel to The Art Institute of Chicago is 1.38 miles. You could walk that far in about 20 minutes, but it is raining and you decide to take a cab. You take your friend along (one additional passenge). What is the meter charge when you arrive?

Hints: for the first mile, you are charged $2.25 plus 20 cents for each of the remaining eight ninths of a mile. You can then convert 1/9, 2/9 etc. into decimals and find how many ninths you have been charged for when you reach 1.38 miles.

You must add the passenger surcharge to this.

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Answer: V dollars and XLV cents.

Roman Numerals: V=5, L=50, X=10. XL is the same as X + X + X + X, or L minus X.

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