Question
Download Solution PDFA watch gained 8 seconds in 4 minutes and was set right at 4 AM. What time will it show at 11 PM on the same day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A watch gained 8 seconds in 4 minutes and was set right at 4 AM. We need to find the time it will show at 11 PM on the same day.
Concept:
Determine how much time the watch gains per minute and then calculate the total time gained over the period from 4 AM to 11 PM.
Formula Used:
Time gained per minute = Total seconds gained / Total minutes
Total time gained = Time gained per minute × Total minutes from 4 AM to 11 PM
Calculation:
We have,
⇒ Time gained in 4 minutes = 8 seconds
⇒ Time gained per minute = 8 / 4 = 2 seconds/minute
Time from 4 AM to 11 PM = 19 hours
⇒ Total minutes from 4 AM to 11 PM = 19 × 60 = 1140 minutes
⇒ Total time gained = 2 seconds/minute × 1140 minutes
⇒ Total time gained = 2280 seconds
⇒ Total time gained in minutes = 2280 / 60 = 38 minutes
Hence, the watch will show the time as:
⇒ 11 PM + 38 minutes = 11:38 PM
∴ The correct answer is option 2: 11:38 PM
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