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A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

Question

A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

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Solution

Sure, here is the step by step solution:

  1. From 8 a.m. to 1 p.m. the next day, it is 29 hours.
  2. The clock gains 10 minutes in 24 hours, so in 1 hour it will gain 10/24 minutes.
  3. Therefore, in 29 hours, the clock will gain (10/24)*29 minutes = 12.08 minutes, which is approximately 12 minutes.
  4. So, when the clock indicates 1 p.m., the true time will be 12 minutes less than this.
  5. Therefore, the true time will be 12:48 p.m.

This problem has been solved

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