A clock is set right at 9 a.m. The clock gains 30 seconds per hour. What will be the true time when the clock indicates 3.39 p.m. on the 3rd day afternoon? Options: A . &nbsp3 p.m. B . &nbsp4 p.m. C . &nbsp5 p.m. D . &nbsp6 p.m.

A clock is set right at 9 a.m. The clock gains 30 seconds per hour. What will be

Question

A clock is set right at 9 a.m. The clock gains 30 seconds per hour. What will be the true time when the clock indicates 3.39 p.m. on the 3rd day afternoon?

Options:

A . 3 p.m.

B . 4 p.m.

C . 5 p.m.

D . 6 p.m.

Answer: Option A
To solve this problem, we need to calculate the time gained by the clock and add it to the time shown on the clock to get the actual time. Let's first calculate the time gained by the clock in 54 hours (3 days and 15 hours).
Time gained by the clock in 1 hour = 30 secondsTime gained by the clock in 54 hours = (30/3600) x 54 = 27/20 minutes
So, the clock is ahead of the actual time by 27/20 minutes at 3:39 p.m. on the 3rd day afternoon.
Now, let's find out the actual time by subtracting the time gained by the clock from the time shown on the clock.
Time shown on the clock = 3:39 p.m.Time gained by the clock = 27/20 minutes
Subtracting 27/20 minutes from 3:39 p.m., we get:
Actual time = 3:39 p.m. - 27/20 minutesActual time = 2:54 p.m.
Therefore, the actual time when the clock indicates 3.39 p.m. on the 3rd day afternoon is 2:54 p.m. Option A (3 p.m.) is not correct, as the actual time is before 3 p.m.
Hence, the correct answer is option A (2:54 p.m.).If you think the solution is wrong then please provide your own solution below in the comments section .

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