Angle between minute hand and hour hand of a clock at 3:05 and 11:55 are J and K respectively. What is the difference (in degrees) between J and K?
Show answer & explanation
Correct answer: B
Explanation
The angles between the minute and hour hands at 3:05 and 11:55 are J and K, respectively. The difference between J and K is:
Angle =
∣30H−5.5M∣
Angle at 3:05 (J)
=∣30×3−5.5×5∣=∣90−27.5∣=62.5°
J = 62.5°
Angle at 11:55 (K)
=∣30×11−5.5×55∣=∣330−302.5∣=27.5°
K = 27.5°
Difference:
J−K=62.5−27.5=35°