Question
A clock loses 5 seconds every 4 hours . It is set right on Sunday at 8:am what time will it show at 7:am the following Saturday
Answers
GPT 3.5
To find how much time the clock loses from Sunday at 8:00 am to Saturday at 7:00 am, we first need to calculate the total number of hours that pass during that time period.
From Sunday at 8:00 am to Saturday at 7:00 am is a total of 6 days and 23 hours.
Checking out the problem:
- 24 hours is a day, so in 6 days it is 6*24= 144 hours and another 23 hours makes a total of 167 hours .
As we know the clock loses 5 seconds every 4 hours, we can calculate how many seconds the clock will lose during this time period.
5 seconds are lost every 4 hours, therefore in 1 hour, it loses 5/4= 1.25 seconds.
To find out how many seconds the clock loses in 167 hours, we multiply 167 by 1.25:
167 hours * 1.25 = 208.75 seconds.
So, the clock will show a time that is 208.75 seconds behind the actual time at 7:00 am on Saturday.
To correct for this time loss, we need to subtract these seconds from the actual time at 7:00 am on the clock:
7:00 am - 208.75 seconds = 6:56:31 am
Therefore, the clock will show a time of 6:56:31 am at 7:00 am on the following Saturday.
From Sunday at 8:00 am to Saturday at 7:00 am is a total of 6 days and 23 hours.
Checking out the problem:
- 24 hours is a day, so in 6 days it is 6*24= 144 hours and another 23 hours makes a total of 167 hours .
As we know the clock loses 5 seconds every 4 hours, we can calculate how many seconds the clock will lose during this time period.
5 seconds are lost every 4 hours, therefore in 1 hour, it loses 5/4= 1.25 seconds.
To find out how many seconds the clock loses in 167 hours, we multiply 167 by 1.25:
167 hours * 1.25 = 208.75 seconds.
So, the clock will show a time that is 208.75 seconds behind the actual time at 7:00 am on Saturday.
To correct for this time loss, we need to subtract these seconds from the actual time at 7:00 am on the clock:
7:00 am - 208.75 seconds = 6:56:31 am
Therefore, the clock will show a time of 6:56:31 am at 7:00 am on the following Saturday.