Henry Ernest Dudeney/Modern Puzzles/25 - A Dreamland Clock

by : $25$

 * A Dreamland Clock
 * In a dream, I was travelling in a country where they had strange ways of doing things.
 * One little incident was fresh in my memory when I awakened.
 * I saw a clock and announced the time as it appeared to be indicated.
 *  but my guide corrected me.
 * He said, "You are apparently not aware that the minute hand always moves in the opposite direction to the hour hand.
 * Except for this improvement, our clocks are precisely the same as those you have been accustomed to."


 * Now, as the hands were exactly together between the hours of $4$ and $5$ o'clock,
 * and they started together at noon,
 * what was the real time?