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A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a.m. If, later that day, it shows 11:15 p.m. in the watch, what is the actual time?
  • a)
    11:00 p.m.
  • b)
    10:50 p.m.
  • c)
    11:10 p.m.
  • d)
    10:45 p.m.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a....
Duration from 8 a.m. to 11:15 p.m. = 15 hours 15 minutes = 915 minutes = 54900 seconds
305 seconds in defective watch = 300 seconds of actual time.
⇒ 305*(54900/305) seconds in defective watch = 300*(54900/305) seconds of actual time
⇒ 54900 seconds in defective watch = 54000 seconds of actual time
= 15 hours of actual time
Actual time is 8 a.m. + 15 hours = 11:00 p.m.
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Most Upvoted Answer
A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a....
Question Analysis:
The faulty watch gains 5 seconds in 5 minutes. We need to find the actual time based on the time shown on the watch, which is 11:15 p.m.

Given:
Faulty watch gains 5 seconds in 5 minutes.

Approach:
We can calculate the time gained by the faulty watch in relation to the actual time. Then, we can subtract this gained time from the displayed time on the watch to find the actual time.

Solution:

Step 1: Calculate the time gained by the faulty watch in relation to the actual time.
Since the faulty watch gains 5 seconds in 5 minutes, we can calculate the time gained per minute.
Time gained per minute = 5 seconds / 5 minutes = 1 second per minute.

Step 2: Calculate the total time gained by the faulty watch.
To calculate the total time gained, we need to find the difference between the time shown on the watch and the actual time.
Time shown on the watch = 11:15 p.m.
Actual time gained = 15 minutes * 1 second per minute = 15 seconds.

Step 3: Subtract the gained time from the time shown on the watch to find the actual time.
Time shown on the watch = 11:15 p.m.
Gained time = 15 seconds.

Subtracting 15 seconds from 11:15 p.m. gives us the actual time.
11:15 p.m. - 15 seconds = 11:14:45 p.m.

Step 4: Confirm the actual time.
To confirm the actual time, we can check if the faulty watch gains 5 seconds in 5 minutes.
Starting from 8 a.m. (when the watch was set right) to 11:14:45 p.m., we can calculate the total time elapsed.
Total time elapsed = 15 hours and 14 minutes and 45 seconds.

To calculate the total time gained by the faulty watch, we can use the time gained per minute (1 second per minute) and calculate the total time gained in 15 hours and 14 minutes and 45 seconds.
Total time gained = 15 hours * 60 minutes * 1 second per minute + 14 minutes * 1 second per minute + 45 seconds = 900 seconds + 14 seconds + 45 seconds = 959 seconds.

Since the total time gained by the faulty watch is 959 seconds, which is approximately 16 minutes and 19 seconds, we can conclude that the actual time is 11:00 p.m.

Therefore, the correct answer is option A) 11:00 p.m.
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A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a.m. If, later that day, it shows 11:15 p.m. in the watch, what is the actual time?a)11:00 p.m.b)10:50 p.m.c)11:10 p.m.d)10:45 p.m.Correct answer is option 'A'. Can you explain this answer?
Question Description
A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a.m. If, later that day, it shows 11:15 p.m. in the watch, what is the actual time?a)11:00 p.m.b)10:50 p.m.c)11:10 p.m.d)10:45 p.m.Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a.m. If, later that day, it shows 11:15 p.m. in the watch, what is the actual time?a)11:00 p.m.b)10:50 p.m.c)11:10 p.m.d)10:45 p.m.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Faulty watch gains 5 seconds in 5 minutes. It was set right at 8 a.m. If, later that day, it shows 11:15 p.m. in the watch, what is the actual time?a)11:00 p.m.b)10:50 p.m.c)11:10 p.m.d)10:45 p.m.Correct answer is option 'A'. Can you explain this answer?.
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