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A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1:00 p.m. the following day?
  • a)
    12 o'clock
  • b)
    16 minutes past 12
  • c)
    48 minutes past 12
  • d)
    30 minutes past 12
  • e)
    24 minutes past 12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. Wh...
Let's solve this problem step by step:

Given:
- The clock gains 10 minutes in 24 hours.
- The clock is set right at 8 a.m.

To find:
- The true time when the clock indicates 1:00 p.m. the following day.

Step 1: Calculate the time gained per hour
Since the clock gains 10 minutes in 24 hours, we need to find the time gained per hour.
10 minutes per 24 hours is equivalent to (10/24) minutes per hour.
Simplifying, (10/24) minutes per hour is equal to (5/12) minutes per hour.

Step 2: Calculate the time gained from 8 a.m. to 1 p.m.
The time period from 8 a.m. to 1 p.m. is 5 hours.
To find the time gained during this period, we multiply the time gained per hour (5/12 minutes per hour) by the number of hours (5 hours).
(5/12) minutes per hour multiplied by 5 hours is equal to (25/12) minutes.

Step 3: Calculate the total time indicated by the clock
The clock is set right at 8 a.m., and it gains (25/12) minutes by 1 p.m.
So, the total time indicated by the clock is 1:00 p.m. + (25/12) minutes.

Step 4: Convert the total time to hours and minutes
To convert the total time to hours and minutes, we divide the total minutes by 60 to get the additional hours and the remaining minutes.
(25/12) minutes divided by 60 is equal to 2 additional hours and (1/2) minutes.

Step 5: Add the additional hours to the original time of 1:00 p.m.
Adding the additional hours to 1:00 p.m., we get 3:00 p.m.

Therefore, the true time when the clock indicates 1:00 p.m. the following day is 3:00 p.m.
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A clock is set right at 8 a.m. and it gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1:00 p.m. the following day?a)12 oclockb)16 minutes past 12c)48 minutes past 12d)30 minutes past 12e)24 minutes past 12Correct answer is option 'C'. Can you explain this answer?
Question Description
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