Angle between minute hand and hour hand of a clock at 2:50 and 7:20 are J and K respectively. What is the difference (in degrees) between J and K?
Show answer & explanation
Correct answer: D
Explanation
Formula for a clockwise angle:
Angle = |30H − 5.5M|
At 2:50 (J)
H = 2, M = 50
∣30×2−5.5×50∣=∣60−275∣=215°
Small angle:
360°−215°=145°
Hence, J = 145°
At 7:20 (K)
H = 7, M = 20
∣30×7−5.5×20∣=∣210−110∣=100°
Hence, K = 100°
Difference:
J−K=145° −100° =45°