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Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O'clock and 10 O'clock and finds that the hour hand and minutes hand have interchanged their position. Find the time for which he was away and the time at which he went out.?
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Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O...



Analysis:
Amole went out between 3 O'clock and 4 O'clock and returned between 9 O'clock and 10 O'clock. When he returned, he noticed that the hour hand and minute hand had interchanged their positions. This means that the hour hand was pointing at the minutes and the minutes hand was pointing at the hours.

Calculating the time:
- When the hour hand and minute hand interchange their positions, the minute hand will be at the same position as the hour hand and vice versa.
- Let's assume Amole went out at 3:15. At this time, the hour hand will be pointing between 3 and 4, while the minute hand will be at 3.
- When Amole returns between 9 and 10, the hour hand will be at 9, and the minute hand will be pointing between 9 and 10.
- The hour hand moves 30 degrees every hour, so from 3 to 9, it will move 6 hours * 30 degrees = 180 degrees.
- The minute hand moves 6 degrees every minute, so it will move 180 degrees in 30 minutes.
- Therefore, Amole was away for 9 hours and 15 minutes (from 3:15 to 9:30).

Conclusion:
Amole went out at 3:15 and returned at 9:30. He was away for a total of 9 hours and 15 minutes.
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Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O'clock and 10 O'clock and finds that the hour hand and minutes hand have interchanged their position. Find the time for which he was away and the time at which he went out.?
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Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O'clock and 10 O'clock and finds that the hour hand and minutes hand have interchanged their position. Find the time for which he was away and the time at which he went out.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O'clock and 10 O'clock and finds that the hour hand and minutes hand have interchanged their position. Find the time for which he was away and the time at which he went out.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amole goes out between 3 O'clock and 4 O'clock. He returns between 9 O'clock and 10 O'clock and finds that the hour hand and minutes hand have interchanged their position. Find the time for which he was away and the time at which he went out.?.
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