Clocks The hour and minute hands of a clock travel around its face at different speeds, but at certain times of the day, the two hands coincide. In addition to noon and midnight, the hands also coincide at times occurring between the hours. According the figure at the right, it is 4:00.
a. When the minute hand points to 4, what fraction of the distance between 4 and 5 will the hour hand have traveled?
b. When the minute hand reaches the hour hand's new position, what additional fraction will the hour hand have traveled?
c. List the next two terms of this series representing the distance traveled by the hour hand as the minute hand "chases" its position.
d. At what time between the hours of 4 and 5 o'clock will the two hands coincide?
