Question

The minute and hour hand of a clock coincide after every 65 min.is the clock gaining time?

Answer 1

urydyf I will see you happy birthday

Answer 2

Answer:

10 (10/143) minutes

Step-by-step explanation:

Note: In a correct clock, the minute hand gains 55 minutes spaces over the hour hand in 60 minutes.

To be together again, the minute hand must gain 60 minutes over the hour hand.

55 minutes are gained in 60 minutes.

60 minutes are gained in (60/55 * 60) = 720/11 minutes = 65 (5/11) minutes.

Now,

Given that they are together after 65 minutes.

So, Gain in 65 minutes = (65 5/11 - 65)

                                      = (720/11 - 65)

                                      = 5/11 minutes.

Then, Gain in 24 hours = (5/11) * (60 * 24/65)

                                      = 1440/143

                                      = 10 (10/143) minutes.

Therefore, the clock gains 10 (10/143) minutes in a day.

Hope it helps!