How much does a watch gain or lose in 33 hours, if its hands coincide every 60 minutes?

How much does a watch gain or lose in 33 hours, if its hands coincide every 60 minutes? Correct Answer 3 hours fast

In defective clock overtake type we use formula

Time = ((65 (5/11) – given time)/ given time) × Total time clock moves.

Here, given time = time in which minute hand overtakes hour hand.

Total time = whole time asked in question.

Here total time = A day = 24 hrs.

The value 65 (5/11) is the standard value in which minute hand cover hour hand.

Time = ((65(5/11) – 60)/60) × 33 = 3 hrs

Thus, minute hand overtakes hour hand in less time. So, it is fast clock.

It gains 3 hours in 33 hours.