Python how to merge the time spans and make a bigger one

I have the following dataframe.

       padel start_time  end_time  duration
38  Padel 10   08:00:00  09:00:00        60
40  Padel 10   10:00:00  11:30:00        90
42  Padel 10   10:30:00  12:00:00        90
44  Padel 10   11:00:00  12:30:00        90
46  Padel 10   11:30:00  13:00:00        90
49  Padel 10   16:00:00  17:30:00        90
51  Padel 10   16:30:00  18:00:00        90
53  Padel 10   17:00:00  18:30:00        90
55  Padel 10   17:30:00  19:00:00        90
57  Padel 10   18:00:00  19:30:00        90
59  Padel 10   18:30:00  20:00:00        90
61  Padel 10   19:00:00  20:30:00        90
63  Padel 10   19:30:00  21:00:00        90
65  Padel 10   20:00:00  21:30:00        90
67  Padel 10   20:30:00  22:00:00        90

I want to chose the longest timespans in between. The output I want should look like this

       padel start_time  end_time  duration
38  Padel 10   08:00:00  09:00:00        60
40  Padel 10   10:00:00  13:00:00        180
49  Padel 10   16:00:00  22:00:00        360

I not care about duration. I can do that. but how will i merge the time spans which overlap. Thanks

1. You can use shift() to create groups if start_time is greater than end_time of row above (i.e. overlapping).
2. We fillna with '24:00:00' so that we return 'True' for first value as nothing can be greater than 24 hours for a day. That's because NaN is the output in first row with shift() which would return False if we didn't do this.
3. That returns a boolean series of True and False (i.e. 1 and 0,. respectively), so you just take the cumulative sum with cumsum.
4. This creates a grp object, which we can include in groupby.

df = df.sort_values(by=['padel', 'start_time'], ascending=[True, True])
grp = df['start_time'].gt(df['end_time'].shift().fillna('24:00:00')).cumsum() 
df = df.groupby([grp, 'padel'], as_index=False).agg({'start_time':'first', 'end_time':'last'})
df['duration'] = ((pd.to_timedelta(df['end_time']) - 
                   pd.to_timedelta(df['start_time'])).dt.seconds / 60).astype(int)
Out[1]: 
      padel start_time  end_time  duration
0  Padel 10   08:00:00  09:00:00        60
1  Padel 10   10:00:00  13:00:00       180
2  Padel 10   16:00:00  22:00:00       360

Full Code with input dataframe

df = pd.DataFrame(pd.DataFrame({'padel': {38: 'Padel 10',
  40: 'Padel 10',
  42: 'Padel 10',
  44: 'Padel 10',
  46: 'Padel 10',
  49: 'Padel 10',
  51: 'Padel 10',
  53: 'Padel 10',
  55: 'Padel 10',
  57: 'Padel 10',
  59: 'Padel 10',
  61: 'Padel 10',
  63: 'Padel 10',
  65: 'Padel 10',
  67: 'Padel 10'},
 'start_time': {38: '08:00:00',
  40: '10:00:00',
  42: '10:30:00',
  44: '11:00:00',
  46: '11:30:00',
  49: '16:00:00',
  51: '16:30:00',
  53: '17:00:00',
  55: '17:30:00',
  57: '18:00:00',
  59: '18:30:00',
  61: '19:00:00',
  63: '19:30:00',
  65: '20:00:00',
  67: '20:30:00'},
 'end_time': {38: '09:00:00',
  40: '11:30:00',
  42: '12:00:00',
  44: '12:30:00',
  46: '13:00:00',
  49: '17:30:00',
  51: '18:00:00',
  53: '18:30:00',
  55: '19:00:00',
  57: '19:30:00',
  59: '20:00:00',
  61: '20:30:00',
  63: '21:00:00',
  65: '21:30:00',
  67: '22:00:00'},
 'duration': {38: 60,
  40: 90,
  42: 90,
  44: 90,
  46: 90,
  49: 90,
  51: 90,
  53: 90,
  55: 90,
  57: 90,
  59: 90,
  61: 90,
  63: 90,
  65: 90,
  67: 90}}))
grp = df['start_time'].gt(df['end_time'].shift().fillna('24:00:00')).cumsum() 
df = df.groupby([grp, 'padel'], as_index=False).agg({'start_time':'first', 'end_time':'last'})
df['duration'] = ((pd.to_timedelta(df['end_time']) - \
                   pd.to_timedelta(df['start_time'])).dt.seconds / 60).astype(int)
df