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C L _ C K Clue
(A). NEITHER (B). A POUND OF METAL IS ALWAYS MORE THAN HALF A POUND OF THE SAME METAL. (C). SIX STROKES TOOK 30 SECONDS, THEREFORE 12 STROKES WILL TAKE 60 SECONDS. BUT WHEN THE CLOCK STRUCK SIX, THERE WERE ONLY 5 INTERVALS BETWEEN STROKES, AND EACH INTERVAL WAS 30/5=6 SECONDS. BETWEEN THE FIRST AND TWELFTH STROKES THERE WILL BE 11 INTERVALS OF 6 SECONDS EACH, THEREFORE 12 STROKES WILL TAKE 66 SECONDS. (D). THERE IS ALWAYS A PLANE THAT CONTAINS ANY 3 POINTS AS THE PROBLEM SAYS THE APPRENTICE MIXED UP THE HANDS SO THAT THE MINUTE HAND WAS SHORT AND THE HOUR HAND WAS LONG. THE FIRST TIME THE APPRENTICE RETURNED TO THE CLIENT WAS ABOUT 2 HOURS AND 10 MINUTES AFTER HE HAD SET THE CLOCK AT SIX.THE LONG HAD MOVED OLNY FROM TWELVE TO A LITTLE PAST TWO. THE LITTLE MADE TWO WHOLE CIRCLES AND AN ADDITIONAL 10 MINUTES. THUS THE CLOCK SHOWED THE CORRECT TIME. THE NEXT DAY AROUND 7:O5 A.M.HE CAME A SECOND TIME,13 HOURS AND 15 MINUTES AFTER HE HAD SET THE CLOCK FOR SIX. THE LONG HAD, ACTING AS THE HOUR HAND,COVERED 13 HOURS TO REACH 1. THE SHORT HAND MADE 13 FULL CIRCLES AND 5 MINUTES, REACHING 7, SO THE CLOCK SHOWED THE CORRECT TIME AGAIN 66 SECONDS. WHEN THE CLOCK STRUCK SIX, THERE WERE ONLY 5 INTERVALS BETWEEN STROKES, AND EACH INTERVAL WAS 6 (30/5) SECONDS. BETWEEN THE FIRST AND TWELFTH STROKES THERE WILL BE 11 INTERVALS OF 6 SECONDS EACH; THEREFORE, 12 STROKES WILL TAKE 66 SECONDS BEFORE I LEFT, I WOUND THE WALL CLOCK. WHEN I RETURNED, THE CHANGE IN TIME EQUALED HOW LONG IT TOOK TO GO TO MY FRIENDS HOUSE AND RETURN, PLUS THE TIME I SPENT THERE. BUT I KNEW THE LATTER BECAUSE I LOOKED AT MY FRIENDS WATCH WHEN I ARRIVED AND LEFT. SUBTRACTING THE TIME OF THE VISIT FROM THE TIME I WAS ABSENT FROM MY HOUSE, AND DIVIDING BY 2, I OBTAINED THE TIME IT TOOK ME TO RETURN HOME. I ADDED THIS TIME TO WHAT MY FRIEND WATCH SHOWED WHEN I LEFT, AND SET THE SUM ON MY WALL CLOCK