In the previous article on clocks, we studied the two types of problems asked from this topic i.e. finding the time when the angle between the two hands is given and finding the angle between the 2 hands at a given time. In this article, we are going to discuss the third important concept of clocks i.e. losing and gaining of time.

Let us try understanding this concept with the help of an example.

If a watch indicates 9.20, when the correct time is 9.10, it is said to be 10 minutes too fast. And if it indicates 9.00, when the correct time is 9.10, it is said to be 10 minutes too slow.

Such kind of problems appear in exams very often, when a clock runs faster or slower than the expected pace.

Let's try and solve some examples based on the above information.

Therefore, when the correct clock would show 8 pm, the faster clock will show 60 minutes extra i.e. 9 pm.

Therefore, the slower clock shows 1:59:25 pm.

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It loses 5 minutes in 1 hour.

⇒ It loses 1 minute in 12 minutes.

⇒ It will lose 12 hours (or 720 minutes) in 720 × 12 minutes = 8640 minutes = 144 hours = 6 days.

⇒Thus, the clock will show the correct time again at 6am on next Sunday.

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- Whenever a clock is running fast, it is said to gain time.
- Whenever a clock is running slow, it is said to lose time.
- For the watch to show the correct time again, it should lose 12 hours.