Question

At what time between 5am and 6am the hands of clock will meet each other

Answer 1

Answer:6:00 am

Step-by-step explanation:

Answer 2

Answer:

25 minutes are gained by minute hand in 60 minutes.

Step-by-step explanation:

Before we actually start solving problems on angles, we need to get couple of basic facts clear:

-Speed of the hour hand The hour hand completes a full circle or 360 degrees in 12 hours or 720 minutes

-Speed of the minute hand The minute hand completes a full circle in 60 minutes

At 'n' o' clock, the angle of the hour hand from the vertical is 30n

The angle between the hour hand and minutes hand

Ф = (30 H - 11 M /2)

H = 5 and angle = 0°

When minute & hour hands coincide, then Ф → = 0

0 = 30 × 5 - 11 M /2

⇒ 0 = 150 - 11 M/ 2

⇒ 150 = 11 M /2

⇒ 300 = 11 M

⇒ M = 300 / 11

⇒ M = 27 (3 / 11 )

∴  25 minutes are gained by minute hand in 60 minutes.

At 5 o'clock two hands are 25 minutes apart. Therefore in order to coincide the long hand must gain 25 minutes as 55 minutes are gained by minute hand in 60 minutes.

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