A clock gains 12.5 second every hours. If it was set correctly at 8:00 a.m. on Sunday, what time time will it show when the correct is 8:00 a.m. on Thursday?
From 8:00 am Sunday to 8:00 am on Thursday is 4 days or 96 hours
since it gained 12.5 seconds every hour, the clock will show 96(12.5) seconds ahead
= 1200 seconds
= 20 minutes
so the time will show as 8:20 am
To calculate the time the clock will show when the correct time is 8:00 a.m. on Thursday, we need to determine the number of hours that have passed from Sunday at 8:00 a.m. to Thursday at 8:00 a.m.
Step 1: Calculate the number of hours from Sunday at 8:00 a.m. to Thursday at 8:00 a.m.
There are 24 hours in a day. From Sunday at 8:00 a.m. to Monday at 8:00 a.m., 24 hours have passed. From Monday at 8:00 a.m. to Tuesday at 8:00 a.m., another 24 hours have passed. From Tuesday at 8:00 a.m. to Wednesday at 8:00 a.m., another 24 hours have passed. Finally, from Wednesday at 8:00 a.m. to Thursday at 8:00 a.m., another 24 hours have passed. So, a total of 4 days have passed, which equals 4 * 24 = 96 hours.
Step 2: Calculate the total number of seconds gained by the clock during this time.
The clock gains 12.5 seconds every hour. So, for 96 hours, it would gain 96 * 12.5 = 1200 seconds.
Step 3: Convert the total number of seconds gained into minutes and hours.
There are 60 seconds in a minute and 60 minutes in an hour. To convert 1200 seconds to minutes, divide by 60: 1200 / 60 = 20 minutes.
To convert the remaining minutes to hours, divide by 60: 20 / 60 = 1/3 hour.
Step 4: Add the gained time to the starting time.
The correct time is 8:00 a.m. on Thursday. Adding the gained time of 1/3 hour to this will give us the time the clock will show.
8:00 a.m. + 1/3 hour = 8:20 a.m.
So, when the correct time is 8:00 a.m. on Thursday, the clock will show 8:20 a.m.
To find out the time the clock would show on Thursday at 8:00 a.m., we need to calculate the total number of seconds the clock gains over the given time period and add it to the starting time.
First, let's determine the number of seconds gained in one hour:
The clock gains 12.5 seconds every hour, so in 24 hours, it would gain 12.5 * 24 = 300 seconds.
Next, let's calculate the number of seconds gained from Sunday 8:00 a.m. to Thursday 8:00 a.m.:
There are 4 full days between Sunday and Thursday. Since each day has 24 hours, the total number of hours is 4 * 24 = 96 hours.
So, the total number of seconds gained during this period is 96 * 12.5 = 1200 seconds.
Now, let's add the gained seconds to the starting time:
8:00 a.m. on Sunday to 8:00 a.m. on Thursday is a total of 4 days, which is equivalent to 96 hours.
Since the starting time was 8:00 a.m., and the clock gains 1200 seconds over this period, we can convert 1200 seconds to minutes: 1200 / 60 = 20 minutes.
Therefore, the clock would show 8:20 a.m. on Thursday.
So, the clock would show 8:20 a.m. when the correct time is 8:00 a.m. on Thursday.