Junior Mathematical Olympiad

A watchmaker installed the big and small hand of a clock in the wrong way. This makes the small hand go with the speed of the big hand and the big hand with the speed of the small hand. It is known that every day at $8:00$ the clock shows the right time. How many times a day ($24$ hours) does the clock show the right time? A) $1$ B) $2$ C) $6$ D) $22$ E) $24$