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A clock is set right at 6 am. The clock gains 10 minutes in 24 hours. What will be the correct time when the clock indicates 11 am on the following day?
- a)10:48 am
- b)11:12 am
- c)9:30 am
- d)11:30 am
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A clock is set right at 6 am. The clock gains 10 minutes in 24 hours....
Solution:
Given: Clock gains 10 minutes in 24 hours.
Let's assume that the correct time is x, and the time shown on the clock is y.
In 24 hours, the clock gains 10 minutes. Therefore, the ratio of actual time to the time shown on the clock is:
24 hours = 1440 minutes
10 minutes = (10/1440) hours
Actual time/Time shown on the clock = 1 + (10/1440)
Actual time/Time shown on the clock = 721/720
Let's say the clock shows 11 am on the following day. The time shown on the clock is 29 hours after 6 am.
So, the actual time would be:
Actual time = Time shown on the clock x (721/720)
Actual time = 29 x (721/720)
Actual time = 10:48 am
Therefore, the correct answer is option A, i.e., 10:48 am.
Given: Clock gains 10 minutes in 24 hours.
Let's assume that the correct time is x, and the time shown on the clock is y.
In 24 hours, the clock gains 10 minutes. Therefore, the ratio of actual time to the time shown on the clock is:
24 hours = 1440 minutes
10 minutes = (10/1440) hours
Actual time/Time shown on the clock = 1 + (10/1440)
Actual time/Time shown on the clock = 721/720
Let's say the clock shows 11 am on the following day. The time shown on the clock is 29 hours after 6 am.
So, the actual time would be:
Actual time = Time shown on the clock x (721/720)
Actual time = 29 x (721/720)
Actual time = 10:48 am
Therefore, the correct answer is option A, i.e., 10:48 am.
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Community Answer
A clock is set right at 6 am. The clock gains 10 minutes in 24 hours....
Total number of hours from 6 am on a day to 11 am on the following day is 29 hours.
Now, 24 hours 10 minutes of this clock = 24 hours of the correct clock
24(10/60) hours of the given clock = 24 hours of the correct clock
∴ 145/6 hours of this clock = 24 hours of the correct clock
∴ 29 hours of this clock = ((24 x 6)/145) × 29 hours of correct clock = 28 hours 48 min of correct clock
So, the correct time is 28 hours 48 min past 6 am, i.e. 48 min past 10.
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A clock is set right at 6 am. The clock gains 10 minutes in 24 hours. What will be the correct time when the clock indicates 11 am on the following day?a)10:48 amb)11:12 amc)9:30 amd)11:30 amCorrect answer is option 'A'. Can you explain this answer?
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