Faulty Clock Problems : A clock which gains or looses time as compared to correct clock is known as faulty clock. This happens because of the speed of the hands of the clock. A faulty clock gains or loses some minutes in a definite period of time.
For Example : Consider the case of a watch which gains 3 minutes every 2 hours.
If this watch is set at 8 O'clock, then by the time it is actually 10 o'clock, the watch will show 10 hours 3 minutes.
When the faulty clock shows the time to be 12 o'clock , the actual time will be a few minutes to 12.
Let us try to calculate the actual time in the case.
When the actual time elapsed is 2 hours the faulty clock will show 2 hour and 3 minutes on converting into hours we will divide by 60 mins
So, when the faulty watch shows 12 o'clock (i.e., 4 hours after the watch was set right), the actual time is
That is approx. 11 hours 54 minutes.
Illustration: A watch, which gains 5 seconds every 3 minutes, is set right at 8 : 00 am. In the afternoon same day, when the faulty watch indicates 5:15, the actual time is
A. 55 minutes past 5 B. 5 o'clock C. 60 minutes past 5 D. 58 minutes past 4
Answer: B
Solution: Actual time (t) : seconds
False time (T) = seconds
Watch time : 9 hours 15 minutes = seconds
The time was set at 8:00 am so adding 9 to 8:00 am we will get 5:00pm.
Hence the correct option is B
A watch, which gains 5 seconds every 3 minutes, is set right at 6 : 00 am. In the afternoon same day, when the faulty watch indicates 3:15, the actual time is | |||
Right Option : A | |||
View Explanation |
A watch which gains uniformly is 4 minutes slow at noon on Monday, and is 4 minute 48 sec fast at 4 pm on the following Wednesday. At what time it was correct? | |||
Right Option : A | |||
View Explanation |
A watch, which gains 5 seconds every 3 minutes, is set right at 7 : 00 am. In the afternoon same day, when the faulty watch indicates 4:15, the actual time is | |||
Right Option : B | |||
View Explanation |
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