Rahul put his timepiece on the table in such a way that at 6 P.M. hour...
At 9.15 P.M., the minute hand will point towards west.
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Rahul put his timepiece on the table in such a way that at 6 P.M. hour...
Overview:
In this question, we are given that Rahul placed his timepiece on the table in such a way that at 6 P.M. the hour hand points to the North. We need to determine the direction in which the minute hand will point at 9.15 P.M.
Explanation:
Step 1: Understand the movement of the hour hand:
The hour hand moves 360 degrees in 12 hours (360°/12 hours = 30° per hour). Since the hour hand points North at 6 P.M., it would have moved 30° per hour × 3 hours = 90° clockwise.
Step 2: Understand the movement of the minute hand:
The minute hand moves 360 degrees in 60 minutes (360°/60 minutes = 6° per minute).
Step 3: Calculate the position of the hour hand at 9.15 P.M.:
Since the hour hand moves 90° clockwise from 6 P.M., it will be pointing 90° clockwise from North at 9 P.M.
Step 4: Calculate the position of the minute hand at 9.15 P.M.:
At 9 P.M., the minute hand is pointing directly at the 12. From 9 P.M. to 9.15 P.M., the minute hand will move 6° per minute × 15 minutes = 90° clockwise.
Step 5: Determine the direction of the minute hand at 9.15 P.M.:
Since the hour hand is pointing 90° clockwise from North and the minute hand is pointing 90° clockwise from the 12, both hands are pointing in the same direction. Therefore, the minute hand will point in the West direction at 9.15 P.M.
Conclusion:
The minute hand will point in the West direction at 9.15 P.M.