Puzzle of the Day: What Time Should the Last Clock Show?

Still image of a clock sequence puzzle: four analog clocks in a row show 3:00, 4:15, 5:30 and 6:45, with arrows between them, and a fifth clock shows a question mark. Caption: Each clock follows the same rule. What time should the last clock show?
Study this still while you solve

Five clocks, one rule. Read the hands carefully (the short black hand is the hour, the long red hand is the minutes) and figure out where the last clock’s hands should point.

The puzzle

  • The first four clocks show a pattern that moves forward the same way at every step.
  • The fifth clock has been left blank.

What time should the fifth clock show?

Show hint

Read each clock as a time, then look at the minute hand on its own. How far does it move from one clock to the next? Does the hour hand keep up?

Show answer

Answer: 8:00.

Answer diagram for the clock sequence puzzle: five clocks labeled 3:00, 4:15, 5:30, 6:45 and 8:00, with +1:15 marked over each step. The last clock, 8:00, is highlighted in green. Note: every step adds 1 hour and 15 minutes, so 6:45 plus 1:15 equals 8:00.
  1. Read the clocks: 3:00, 4:15, 5:30, 6:45.
  2. The minute hand moves a quarter turn each time (0, 15, 30, 45 minutes), and the hour climbs by one (3, 4, 5, 6).
  3. So every step adds 1 hour and 15 minutes.
  4. 6:45 + 1:15 = 8:00. One hour after 6:45 is 7:45, and 15 more minutes brings the minute hand back to 12 at 8:00.

The trap is answering 7:00: the hour number rises by one at each step, so it’s tempting to go from 6 to 7. But the extra 15 minutes after 6:45 tips the clock past the hour, landing on 8:00.

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