Clock
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A clock has three hooks and all of the three hooks move at different rates. Speed of hook depends on the distance travelled(Angle) and the time taken to cover a specific range.
Speed = Angle/Time taken
The speed of a minute hand:
A minute hand travels 360° in one hour.
Speed of a minute hand = 360°/60 minutes
Speed of a minute hand = 6° per minute.
The speed of an hour hand:
An hour hand travels 30°in an hour.
Speed of an hour hand = 30°/60 minutes
Speed of an hour hand =$$\frac{1}{2}$$° per minute.
Difference in the speed = 6°– $$\frac{1}{2}$$° = 5.5° per minute
Note: The minute hand is always faster than the hour hand by 5.5° or an hour hand is always slower than the minute hand by 5.5°
1 Between 1 hour and 12 hours how many times the hour needle and minute needle will be together?
2 A thief runs at a speed of 5m/s. A policeman runs behind him 2 seconds after thief started at a speed of 10 m/s. After how much time, the policeman will catch the thief:
3 At what angle the hands of a clock are inclined at 15 minutes past 5?
4 At what time between 4 o'clock and 5 o'clock, will the hands of a clock be together?
5 How many times in a day, are the hands of a clock in straight line but opposite in direction?
6 6 At what time between 7 o'clock and 8 o'clock, will the hands of a clock be in the same straight line but not together?
7 A clock is set right at 9 am. The clock gains 10 min in 24 h. What will be true time, when the clock indicates 2 pm on the following day?
8 The minute hand of a clock overtakes the hour hand at intervals of 63 min of the correct time. How much does a clock gain or loss in a dav?
