/ 10I started for the station at 3.30 pm for a train which departed at 5 pm. When I left my watch was showing the correct time. After this for every hour, my watch slowed down by a minute. When I reached the station, I was told that the train had departed 30 minutes ago. What time is it showing on my watch?
Question
/ 10I started for the station at 3.30 pm for a train which departed at 5 pm. When I left my watch was showing the correct time. After this for every hour, my watch slowed down by a minute. When I reached the station, I was told that the train had departed 30 minutes ago. What time is it showing on my watch?
Solution
The problem states that the person started for the station at 3:30 pm for a train that departed at 5 pm. This means that the journey to the station should have taken 1.5 hours (90 minutes). However, the person's watch slows down by 1 minute every hour.
So, in the 1.5 hours it took to get to the station, the watch would have slowed down by 1.5 minutes.
When the person arrives at the station, they are told that the train departed 30 minutes ago. This means that the actual time is 5:30 pm.
However, because the watch is slow, it would be showing a time that is 1.5 minutes earlier than the actual time.
So, the time showing on the watch when the person arrives at the station would be 5:30 pm - 1.5 minutes = 5:28.5 pm.
Therefore, the watch would be showing 5:28 and 30 seconds.
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