Pay attention to the time bar!

Discrete Mathematics Level 3

During a soccer match there is a time bar that shows the time in minute and seconds.It is of the form \(ab:cd\) where \(ab\) shows the minutes for example \(05\) and \(cd\) shows the seconds for example \(45\).Thus the time would be \(05:45\).The soccer match lasts \(90\) minutes and it is divided into two halfs each of \(45\) minutes.

How many times does it happen during the match that the time bar is of the form:\(ab:ba\) for some positive integers \(a\) and \(b\) including \(0\)?

Assume there wasn't any extra time at the end of each half.
The match lasts from \( 00:00\) to \( 90:00\).


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