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Chapter 1: Problem 8

A certain pendulum clock (with a 12 -h dial) happens to gain 1 min/day. After setting the clock to the correct time, how long must one wait until it again indicates the correct time?

Short Answer

Expert verified
The clock will indicate the correct time again after 1440 days.

Step by step solution

01

Identify the rate

The clock gains an extra 1 minute per day, which means in real 24-hour period, it shows 24 hours and 1 minute.
02

Calculate the total time until the clock indicates the correct time

To find out when the accumulated extra minutes add up to 24 hours, calculate how many minutes are in 24 hours and then divide by the rate at which the clock is gaining time. In 24 hours there are 1440 minutes (24 hours * 60 minutes). Divide 1440 by 1 to get the total time in days (1440 / 1 = 1440 days)
03

Conclusion

Therefore, the clock will again indicate the correct time after 1440 days.

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