Bear News Beartown News

JUNE 1, 2002

A BEARTOWN MYSTERY

The Beartown Constable, on an occasional day off, decided to ride his horse to a neighboring town and participate in their annual rodeo.  He wanted to arrive at exactly 1 PM for the jumping competition.  Being very smart with mathematics he figured that if he rode at the rate of fifteen miles an hour he would arrive one hour too soon; and if he rode at the rate of ten miles an hour he would get there one hour too late.

From the above information can you figure:
     1. When the constable started his journey?
     2. How far he had to ride?
     3. At what rate of speed did he ride?

Check the next issue of Beartown News for the answer.


FROM LAST MONTH

An "undesirable" from a neighboring town staged a night time robbery at The "HERE'S the BEEF" Ranch.  With the thousands of cattle it was next to impossible to determine how many had been stolen.  However, through the excellent investigative techniques of the Beartown Constable, the exact number was determined and all were eventually recovered.
The "undesirable" was quickly caught because not many people sell cattle on the side of the road any more.  The Beartown Constable apprehended him along with some of the cattle.
Intense questioning led to the following confession. ""Well, first I sold Mr. Stewart half the herd and half a cow; then I sold Mr. Benson a third of what was left and a third of a cow; then Mr. Roberts bought a fourth of what was left and three fourths of a cow; then Mrs. Jewell took a fifth of what was left and I gave her a fifth of a cow for good measure.  And here are the nineteen cattle that I haven't sold yet."

The Constable quickly figured out how many cattle had been stolen and how many each purchaser had bought.  CAN YOU FIGURE IT OUT???
It must be pointed out that
NO cow was divided!

ANSWER

There had to have been 101 cattle that were stolen.  The thief sold half the cows and half a cow (50 1/2 plus 1/2 equal 51), leaving 50; then he sold athird of these and a third of a cow (16 2/3 plus 1/3 equals 17).  This leaves 33; and he sold a quarter of these plus three quarters of a cow (8 1/4 plus 3/4 equals 9) leaving 24.  Then he sold 1/5 of these and 1/5 of a cow (4 4/5 plus 1/5 equals 5), which left 19 cows that he did not sell.


JUST CLICK ON THESE WORDS AND CHASE A CLOCK WITH YOUR MOUSE

THEN PLEASE CLICK BACK



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