Transact SQL :: Find Duration From Two Records

I am working on one logic. I have a table as below.

Declare @Table table (ID int, StartDate datetime, EndDate datetime)
Insert Into @Table (ID, StartDate, EndDate)
Values (1, '2013-01-01', '2013-12-31') 
, (1, '2014-01-01', '2014-06-30') 
, (2, '2014-01-01', '2014-07-31') 
, (2, '2014-08-02', '2014-08-30') 
select * from @Table 

I need as below.

ID, StartDate, EndDate
1, '2013-01-01', '2014-06-30'
2, '2014-01-01', '2014-07-31'
2, '2014-08-02', '2014-08-30'

Means If ID is same for two or more than two records then difference between first row's EndDate and second row's StartDate is 1 day then we should get one record as output. How can we built this logic in T-SQL ?