How much time (in minutes) (approximately) after 2:00 PM will it take for the minute and hour hands of the clock to be at an angle of 90 degrees?
Show answer & explanation
Correct answer: A
Explanation
Let x minutes have passed since 2:00.
Angle of the hour hand = 60 + 0.5x°
Angle of the minute hand = 6x°
To form a 90° angle:
6x−(60 + 0.5x)=90
5.5x=150
x=150/5.5
≈27.27 minutes
That is, approximately 27 minutes.