Mathematics
Where will the hour hand of a clock stop if it
(i) starts at 10 and makes of a revolution, clockwise?
(ii) starts at 4 and makes of a revolution, clockwise?
(iii) starts at 4 and makes of a revolution, clockwise?
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Answer
One complete revolution of the hour hand = 12 hours.
(i) of a revolution = = 6 hours
Starting from 10 and moving 6 hours clockwise: 10 → 11 → 12 → 1 → 2 → 3 → 4
∴ The hour hand will stop at 4.
(ii) of a revolution = = 3 hours
Starting from 4 and moving 3 hours clockwise: 4 → 5 → 6 → 7
∴ The hour hand will stop at 7.
(iii) of a revolution = = 9 hours
Starting from 4 and moving 9 hours clockwise: 4 → 5 → 6 → 7 → 8 → 9 → 10 → 11 → 12 → 1
∴ The hour hand will stop at 1.
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