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Clocks A and B were both set right at 9:00 a.m. A gains 5 minutes every hour and B loses 3 minutes every hour. When A is exactly 1 hour ahead of B, what does clock B show?

Competition practiceClocks
  • A3:30 p.m.
  • B4:07:30 p.m.
  • C4:30 p.m.
  • D5:07:30 p.m.

Step-by-Step Solution

Each true hour the gap between the clocks grows by 5 + 3 = 8 min, so a 60-min gap takes 60 ÷ 8 = 7.5 h: the true time is 4:30 p.m. B has lost min, so it shows 4:07:30 p.m. (4:30 p.m. is the true time; 5:07:30 p.m. is what A shows.)
Answer: B) 4:07:30 p.m.

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