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A flower market runs from the afternoon time on clock A to the evening time on clock B. How many times are the two hands in one straight line (together or opposite) during the market?

Competition practiceClocks
  • A6
  • B11
  • C12
  • D10

Step-by-Step Solution

A shows 3:00 p.m. and B shows 9:00 p.m.; neither is a straight-line moment (both are right angles). The hands are in line every 360 ÷ 11 = 32 8/11 min, so in 360 minutes this happens 360 ÷ (360/11) = 11 times. (12 counts two per hour; 6 counts only overlaps.)
Answer: B) 11

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