A clock takes 6 seconds to strike 4 o’clock. How much time will it take to strike 8 o’clock?

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PREVIOUSLY ASKED IN:
WBPSC Miscellaneous Preliminary 2023

Answer

14 seconds

Explanation

The time taken by a clock to strike depends on the number of intervals between the strikes, not the strikes themselves. To strike 4, there are 3 intervals. The time for 3 intervals is 6 seconds. Thus, 1 interval takes \\( \\frac{6}{3} = 2 \\) seconds. To strike 8, there are 7 intervals. The time taken for 7 intervals will be \\( 7 \\times 2 = 14 \\) seconds.

Key Points

  • > Always count the 'intervals' between the strikes in such problems.
  • > Number of intervals = Total strikes - 1.
  • > Intervals for 4 strikes = (4-1) = 3.
  • > Intervals for 8 strikes = (8-1) = 7.
  • > The duration of each interval is constant.
  • > Time for 1 interval = \\( \\frac{6}{3} = 2 \\) seconds.
  • > Total time = Number of intervals \\( \\times \\) time per interval.

Additional Information

Clock Striking Logic

StrikesIntervalsTotal TimeCalculation
4 o'clock36 seconds3 \\( \\times \\) 2
8 o'clock714 seconds7 \\( \\times \\) 2
12 o'clock1122 seconds11 \\( \\times \\) 2

Memory Tips

  • Minus One Rule: Always subtract 1 from the number of strikes to get the active gaps (intervals) that actually consume time.
Mathematics Reasoning Medium