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Clocks A and B are in two rooms of a house. What is the smaller angle between the HOUR hand of A and the HOUR hand of B?

Competition practiceClocks
  • A150°
  • B222°
  • C138°
  • D142°

Step-by-Step Solution

A shows 2:40: its hour hand is at 60 + 20 = 80°. B shows 7:16: its hour hand is at 210 + 8 = 218°. Difference = 138°. (150° uses whole hours 2 and 7; 222° is the reflex side.)
Answer: C) 138°

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