Question

A clock gains 2 minutes every hour. Then the angle traversed by the second hand in one minute is: 

Options

• 360°

• 370°

• 390°

• 372°

Answer 1

372°

Explanation:

A gain of a clock in 1 minute `=2/60=1/30`minute

`=1/30xx60=2  "sec"`

Actual Angle rotated by second hand in 1 minute
=360°

Angle rotated by second hand in 2 sec.
`=360^°/60^°xx2=12^°`

Hence, the total angle rotated by second hand
=360° + 120° = 372°