At what time (approximately) (in PM) between 4 PM and 5 PM will the angle between the hour and the minute hand of a clock be 50 degrees?
Show answer & explanation
Correct answer: D
Explanation
Formula: Angle = |30H − 5.5M|
For 4 and M minutes ⇒ |120 − 5.5M| = 50
120 − 5.5M = 50 ⇒ 5.5M = 70 ⇒ M ≈ 12.7 ≈ 13 minutes
Thus time ≈ 4:13 PM
Correct Answer: 4:13