Question

The minute hand of a clock crosses hour hand in 65 mins at correct time. Then how much will the clock gain in a day
( hint: in real the minute hand of clock passes the hour hand after 65(5/11) minutes)

No spamming please

Answer 1

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!

Answer 2

Step-by-step explanation:

(720/11-M)(24*60/M) mins,

where m= intervals of n minutes of correct time

=(720/11–65)(24*60/65)

=1440/143 mins