The house numbers on Clock Street are the same as the seconds on a digital clock, namely:

       00:00:00, 00:00:01, ..., 00:00:59, 00:01:00, ..., 00:59:59, 01:00:00, ..., 23:59:59

(A) The sum of the addresses up to and including Jack's house equals the sum of the addresses past Jack's house up to and including Jake's house. What are their addresses? (There are several solutions. Please give the largest.)

(B) The sum of the even addresses up to Jane's house equals the sum of the odd addresses past Jane's house up to and including June's house. What are their addresses? (There are several solutions. Please give the largest.)

Note: The addresses are added like one adds times. Like, 00:50+00:50=01:40