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A clock is set to show the correct time at 11 a.m. The clock gains 12 minutes every 12 hours. What will be the actual time when the watch indicates 1 p.m. on the 6ᵗʰ day?

Answer :

The time indicated by the clock when it shows 1 pm on the 6th day is 1:02 pm.

To find the time when the clock indicates 1 pm on the 6th day, we need to consider the clock's gain of 12 minutes in 12 hours.

Calculating the clock's gain per hour:

The clock gains 12 minutes in 12 hours, which means it gains 1 minute per hour.

Determining the time difference between 11 am and 1 pm on the 6th day:

From 11 am to 1 pm, there are 2 hours.

Taking into account the clock's gain:

Since the clock gains 1 minute per hour, the total gain for 2 hours would be 2 minutes.

Adding the time difference and the clock's gain to the initial time:

Starting from 11 am, we add 2 hours and 2 minutes.

- For the hours: 11 am + 2 hours = 1 pm.

- For the minutes: 0 minutes + 2 minutes = 2 minutes.

Therefore, the time indicated by the clock when it shows 1 pm on the 6th day is 1:02 pm.

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