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If the minute hand and hour hand coincide after every 65 min then how much time does the watch gain or loose in a day?

If the minute hand and hour hand coincide after every 65 min then how much time does the watch gain or loose in a day? Correct Answer 10(10/143) minutes

We know that generally clock coincides after every 65(5/11) minutes.

But, here clock coincides after every 65 minutes. Here the clock gains (5/11) minutes.

So, for a day it gains

= (24 x 60 x 5) / (11 x 65) = 1440 / 143

= 10(10/143) minutes

Hence, the clock gains 10(10/143) minutes in a day if it coincides every 60 minutes.

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