Question

what is the angle between the hour hand and the minute hand of a clock when the time is 2.20​

Answer 1

Answer:

The hour hand covers 30 degrees (1 division) in 60 min. It's speed is (30/60) = 0.5 deg/min. If time is 2:00. Hour hand's is 60° ahead of minute's hand.

Answer 2

Answer:

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Step-by-step explanation:

The minute hand moves 30 degrees (1 division) in 5 min. Therefore, it’s speed is (30/5) = 6 deg/min.

The hour hand covers 30 degrees (1 division) in 60 min. It’s speed is (30/60) = 0.5 deg/min.

 If time is 2:00.

Hour hand's is 60° ahead of minute's hand.

Movement of minute's hand in next 20 mins,

=) 6 deg/min * 20 min = 120 degrees.

Movement of hour's hand in next 20 mins,

=) 0.5 deg/min * 20 min = 10 degrees

Hence net movement of hour's hand = 60°+10°

= 70°.

Hence angle between 12:00-2:20 (hour's hand) is 70° and angle between 12:00 - 2:20 (minute's hand is 120°).

Hence the angle btw time hands at 2:20 is (120°-70°) = 50°.

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