a clock is set right 9:00 pm and it gains 1 min in the first three hours and loses 1 min in every fourth hour and follows the same pattern there on .identify the time the clock will show at 1:00 pm the next day .
it would be 3:00 p.m.
Payton goes shopping. She finds two shirts. One costs $24.97 and the other costs $13.75. She needs to know if she has enough money to buy both shirts. Using mental math, she rounds $24.97 to $25.00 and adds that to $13.75 to get $38.75. How does Payton need to compensate to find the exact total of the two shirts?
To identify the time the clock will show at 1:00 pm the next day, we will need to calculate the total number of minutes gained or lost in a span of 24 hours.
First, let's break down the pattern.
- The clock gains 1 minute in the first three hours: 9:00 pm to 12:00 am.
- Then, it loses 1 minute every fourth hour: 12:00 am to 4:00 am, 4:00 am to 8:00 am, 8:00 am to 12:00 pm.
Now, let's calculate the total minutes gained or lost in each segment:
1) The first three hours: 1 minute gained per hour x 3 hours = 3 minutes gained.
2) The next four hours: 1 minute lost per hour x 4 hours = 4 minutes lost.
3) The next four hours: 1 minute lost per hour x 4 hours = 4 minutes lost.
4) The next four hours: 1 minute lost per hour x 4 hours = 4 minutes lost.
5) The last nine hours until 1:00 pm: 1 minute lost per hour x 9 hours = 9 minutes lost.
Now let's add up the gained and lost minutes:
Gained minutes: 3 minutes.
Lost minutes: 4 + 4 + 4 + 9 = 21 minutes.
Since the clock loses 21 minutes in a span of 24 hours, the time shown by the clock at 1:00 pm the next day will be 24 hours - 21 minutes earlier than 1:00 pm. Thus, we subtract 21 minutes from 1:00 pm.
1:00 pm - 21 minutes = 12:39 pm.
Therefore, the clock will show 12:39 pm the next day.
3.00 pm
hint: draw a timeline for the times on the clock for 1 hour : )
hint#2 look at the "similar question" section : ) on this website