Question

Answer the following : 

Show that the minute-hand of clock gains 5°30' on the hour-hand in one minute.

Answer 1

Angle made by hour-hand in one minute

= `(360°)/(12xx60)=(1/2)^circ`

Angle made by minute-hand in one minute

= `(360°)/60` = 6°

∴ gain of minute-hand on the hour-hand in one minute = 6° − `((1)/2)^circ = (5 1/2)^circ` = 5°30'