First you need to convert your time string to NSDate
=> Converting time string to Date format iOS.
Then use following code
NSDate *timer1 =...
NSDate *timer2 =...
NSComparisonResult result = [timer1 compare:timer2];
if(result == NSOrderedDescending)
{
// time 1 is greater then time 2
}
else if(result == NSOrderedAscending)
{
// time 2 is greater then time 1
}
else
{
//time 1 is equal to time 2
}