The 12-hour digital clock above shows one example of a time at which the sum of the digits representing the time is equal to 20. During a twelve-hour period, starting at noon, for how many minutes would the sum of the digits displayed be greater than or equal to 20?
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In 6:00 pm to 06:59 pm there are 1 time ( 6:59 )
In 7:00 pm to 07:59 pm there are 3 time's ( 7:49 , 7:58 , 7:59 )
In 8:00 pm to 08:59 pm there are 6 time's ( 8:39 , 8:48 , 8:49 ...... 8:59 etc . )
In 9:00 pm to 09:59 pm there are 10 time's ( 9:29 , 9:47 , .................., 09:59 etc . )