A clock loses 1/2 minute every hour if it is put right at 6:00am on Sunday what time will it show the following Sunday when the correct time is 7:00 am
We are talking about 7*24+1 = 169 hours.
So, the clock loses 84.5 minutes in that time.
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Answer equals 5:36
To find out what time the clock will show the following Sunday, we need to calculate the time difference between when the clock is set to 6:00 am on Sunday and when the correct time is 7:00 am the following Sunday.
Given that the clock loses 1/2 minute every hour, we can calculate the total time lost over the course of a week.
In one day, the clock loses 1/2 minute every hour. So in 24 hours, it will lose 24 x 1/2 = 12 minutes.
In a week, which consists of 7 days, the clock will lose 7 x 12 = 84 minutes.
Now, let's calculate the time difference between when the clock is set on Sunday at 6:00 am and when the correct time is 7:00 am the following Sunday.
There are 60 minutes in an hour, so the correct time of 7:00 am is 7 x 60 = 420 minutes.
Since the clock loses 84 minutes over the course of a week, it will show a time that is 84 minutes less than the correct time.
Therefore, the time shown by the clock the following Sunday when the correct time is 7:00 am will be 420 - 84 = 336 minutes.
To convert this to hours and minutes, we divide 336 by 60.
336 ÷ 60 = 5 hours remainder 36 minutes.
So, the clock will show the time 5 hours and 36 minutes on the following Sunday.