An 24 hour digital clock is gaining three minutes every hour.If you set it to the correct time at 6pm on Saturday, when will it show the correct time again?
check your previous post. It will take 3 weeks, less one day.
okay then no
To solve this problem, we need to determine the interval at which the clock gains three minutes.
The clock gains three minutes every hour, so it gains 3 * 24 = 72 minutes in 24 hours.
Therefore, the clock gains 72 minutes every 24 hours or 1 day.
Now, let's find out how many days it will take for the clock to show the correct time again after it was set at 6pm on Saturday.
From 6pm on Saturday to 6pm on Sunday is 24 hours or 1 day. However, during this time, the clock has gained 72 minutes or 1 hour and 12 minutes.
Since the clock gains 72 minutes every 24 hours, we can see that it will gain 1 hour and 12 minutes every day.
Therefore, after 1 day, the clock will show the correct time at 7:12pm on Sunday.
To determine when the clock will show the correct time again, we need to find the next multiple of 1 day.
Since there are 7 days in a week, it will take an additional 7 days for the clock to show the correct time again.
Adding the 7 days to Sunday, we find that the clock will show the correct time at 7:12pm on the following Sunday.
In conclusion, the clock will show the correct time again at 7:12pm on the following Sunday.