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M _ N _ T _ S Clue
LET'S NAME THE ROPES AS A AND B. LIGHT A FROM BOTH THE ENDS AND B FROM ONE END. WHEN A IS FINISHED BURNING WE KNOW THAT 30 MINUTES HAVE ELAPSED AND B HAS 30 MINUTES REMAINING. NOW, LIGHT THE OTHER NON-BURNING END OF B AND START THE TIMER. WHEN B IS FINISHED BURNING, STOP THE TIMER AS 15 MINUTES HAVE ELAPSED IF THE GIRLS HAD BEEN ON A STANDING TRAIN, THE FIRST GIRL'S CALCULATIONS WOULD HAVE BEEN CORRECT, BUT THEIR TRAIN WAS MOVING. IT TOOK 5 MINUTES TO MEET A SECOND TRAIN, BUT THEN IT TOOK THE SECOND TRAIN 5 MORE MINUTES TO REACH WHERE THE GIRLS MET THE FIRST TRAIN. SO THE TIME BETWEEN TRAINS IS 10 MINUTES, NOT 5, AND ONLY 6 TRAINS PER HOUR ARRIVE IN THE CITY THE TIME IS 6AM. FOR EVERY 1 HOUR THAT HAS PASSED, THE CLOCK WILL ONLY SHOW 36 MINUTES AS IT WILL LOSE 24 MINUTES. WHEN THE CLOCK WAS SHOWING 3AM, 180 CLOCK MINUTES HAVE PASSED SINCE MIDNIGHT. THIS MEANS THAT 300 (180/36 X 24 MINUTES + 180 MINUTES) REAL MINUTES HAVE PASSED WHEN THE CLOCK WAS SHOWING 3AM. SINCE THE CLOCK STOPPED 1 HOUR AGO, ANOTHER 60 MINUTES HAVE PASSED. THEREFORE A TOTAL OF 360 MINUTES HAVE PASSED. SINCE 360 MINUTES = 6 HOURS, THE TIME IS 6 HOURS AFTER MIDNIGHT THERE ARE TWO POSSIBLE SOLUTIONS (AND MAYBE MORE). SOLUTION 1: LIE THE CANDLES HORIZONTALLY NEXT TO EACH OTHER, BUT WITH THE WICKS AT OPPOSITE ENDS. LIGHT BOTH THE CANDLES. WHEN THEY MEET, THEY'LL HAVE BOTH BURNED HALFWAY - 30 MINUTES GONE. NOW BLOW ONE OUT. LET THE OTHER BURN THE REST OF ITS 30 MINUTE LIFESPAN - NOW YOU'VE TIMED 60 MINUTES. WHEN IT GOES OUT, RELIGHT THE OTHER ONE FOR THE REMAINING 30 MINUTES - TOTAL OF 90 MINUTES. SOLUTION 2: FIRST LIGHT UP THE TWO ENDS OF THE FIRST CANDLE. WHEN IT HAS FULLY BURNED, LIGHT UP ONE END OF THE SECOND CANDLE. FIRST CANDLE TAKES 30 MINS TO BURN OUT AND SECOND CANDLE WILL TAKE 60 MINS - TOTAL OF 90 MINUTES