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This clock was set right at 6 a.m. on Monday and gains 10 minutes every 24 hours at a steady rate. On Thursday it reads 9 p.m. What is the true time?

Competition practiceClocks
  • A8:36 p.m.
  • B8:24 p.m.
  • C8:30 p.m.
  • D9:36 p.m.

Step-by-Step Solution

From Monday 6 a.m. to Thursday 9 p.m. the clock has run 87 hours. It shows 1450 min for every 1440 true min, so the true time passed is h = 86 h 24 min. Monday 6 a.m. + 86 h 24 min = Thursday 8:24 p.m. (8:30 p.m. subtracts 3.5 days × 10 min; 9:36 p.m. adds the gain.)
Answer: B) 8:24 p.m.

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