Python 3.x:

from datetime import datetime as dt


fmt = '%a %d %b %Y %H:%M:%S %z'
for i in range(int(input())):
    print(int(abs((dt.strptime(input(), fmt) - 
                   dt.strptime(input(), fmt)).total_seconds())))

Mods: you guys should specify that the months will be abbreviated (May is the only example and is the same whether abbreviated or not). Also you should mention that the time offset is in form +/-HHMM. That wasn't made clear.

like if it helps....

def time_delta(t1, t2):
    first = datetime.datetime.strptime(t1,'%a %d %b %Y %H:%M:%S %z')
    second = datetime.datetime.strptime(t2,'%a %d %b %Y %H:%M:%S %z')
    return str(abs(int((first-second).total_seconds())))

I use dateutil.parser in Pycharm, it works. But Hackerrank doesn't support dateutil.parser. So the easiest way is to do the following, even it won't have you pass Hackerrank's test cases. You can try it in your own IDE.

from dateutil import parser

for _ in range(int(input())):
    d1 = parser.parse(input().strip())
    d2 = parser.parse(input().strip())
    print(abs(int((d2-d1).total_seconds())))

My solution:

from datetime import datetime
for _ in range(int(input())):
    t1=datetime.strptime(input(),'%a %d %b %Y %H:%M:%S %z')
    t2=datetime.strptime(input(),'%a %d %b %Y %H:%M:%S %z')
    print (int(abs((t1-t2).total_seconds())))

At the beginning, I didn't notice the word 'absolute'. After I check my resluts with desired results, I found the difference.