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How many times are the two hands in one straight line (overlapping or opposite) between the morning time on clock A and the afternoon time on clock B?

Competition practiceClocks
  • A10
  • B8
  • C5
  • D9

Step-by-Step Solution

A shows 9:00 a.m. and B shows 2:00 p.m. The hands are in line every min (0° or 180°). These instants fall at about 9:16, 9:49, 10:22, 10:54, 11:27, 12:00, 12:33, 1:05 and 1:38: 9 times. (10 counts two per hour for 5 hours.)
Answer: D) 9

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