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The hour hand of this clock is 6 cm long. How far does its tip travel from the time on clock A to the time on clock B? (Take π = 22/7.)

Competition practiceClocks
  • A12 4/7 cm
  • B25 1/7 cm
  • C37 5/7 cm
  • D6 2/7 cm

Step-by-Step Solution

A shows 1:00 and B shows 5:00: 4 hours, so the hour hand turns °, one-third of a circle. Arc = 4/7 cm. (37 5/7 cm is a whole circle; 25 1/7 cm is two-thirds.)
Answer: A) 12 4/7 cm

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