A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
🕰️ Watch Time Correction 🤔
Let’s break it down:
Monday, noon: Watch is 2 minutes low.
Next Monday, 2 p.m.: Watch is 4 minutes 48 seconds fast.
Time elapsed = 1 week (7 days) + 2 hours = 170 hours
Gain in 170 hours = (4 minutes 48 seconds) – (-2 minutes)
= 6 minutes 48 seconds
Gain per hour = 6 minutes 48 seconds / 170 hours
= 2.4 seconds/hour
Since the watch was 2 minutes low initially, it needs to gain 2 minutes to show the correct time.
Time taken to gain 2 minutes = 2 minutes / (2.4 seconds/hour)
= 120 hours / 2.4 seconds/hour
= 50 hours
Adding this to Monday, noon:
🎉 The watch showed the correct time at 2 p.m. on Wednesday. 🕰️
