Dhaka Junior 2011/8
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Please don't post problems (by starting a topic) in the "Junior: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Dhaka Junior 2011/8
8. Abir started at $9:30$ pm from his house to go to Nayel’s house. When he reached there, he saw it was $8:55$ pm in Nayel’s clock. He started back towards his house when it was $9:00$ pm at Nayel’s. He reached at his house when it was $10:15$ pm in his clock. If Abir needed equal time to go and come back, find out the number of minutes Nayel’s clock is slow by.
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Re: Dhaka Junior 2011/8
55 minutes slow.

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Re: Dhaka Junior 2011/8
please show method .Mehfuj Zahir wrote:55 minutes slow.
 nafistiham
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Re: Dhaka Junior 2011/8
the total time abir took is $9:308:55=45$ minutes.in it he stayed $5$ minutes in nayel's house. so he needs $20$ minutes to reach nayel's house.so, when he reaches nayel's house abir's clock said it was $9:50$ when nayel's clock it was $8:55$
so his clock is $55$ minutes slow
so his clock is $55$ minutes slow
\[\sum_{k=0}^{n1}e^{\frac{2 \pi i k}{n}}=0\]
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