Mathematics

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Clocks and Calendars / घड़ी और कैलेंडर

Q68 2015, Clocks and Calendars

We know that, exactly at 6 pm, angle between minute hand is 180°.

Now, to cover this angle, minute hand takes 180°/ 6° = 30 min.

Since, the minute hand is 3 min ahead of the hour hand.

Difference in angles = 3 x 5.5= 16.5°

⸫ 180° + 16. 5° = 6 x x - 0.5 (x - 3)

= 196.5 = 6x- 0.5x+ 1.5

= 195 = 5.5x = x = 195 / 5.5 = 35. 45 = 36 min

⸫ Required time = 6 : 36 pm

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