In clock at what time hour & minute hand coincide ?

AFTER HOW MANY MINUTES AFTER 'X' HRS WILL HOUR HAND AND MINUTE HAND COINCIDE.
X HRS	ANGLE	T MINS	MIN		SECONDS
1	30	5.454545	5	0.454545	27.273
2	60	10.90909	10	0.909091	54.545
3	90	16.36364	16	0.363636	21.818
4	120	21.81818	21	0.818182	49.091
5	150	27.27273	27	0.272727	16.364
6	180	32.72727	32	0.727273	43.636
7	210	38.18182	38	0.181818	10.909
8	240	43.63636	43	0.636364	38.182
9	270	49.09091	49	0.090909	5.4545			3
10	300	54.54545	54	0.545455	32.727
11	330	60	60	0	0
12	360	65.45455	65	0.454545	27.273	65 MINS i.e. AFTER 1 O' CLOCK
HOUR HAND'S SPEED = 30 DEG PER 60 MINS = 1/2 DEG PER MIN
MINUTE HAND'S SPEED = 360 DEG PER 60 MINS = 6 DEG PER MIN
TIME IN WATCH AFTER 5 O'CLOCK WHEN HOUR HAND & MINUTE HAND COINCIDE IS WHEN
LET IT HAPPEN AFTER 'T' MINS AFTER 5 O' CLOCK
HOUR HAND HAS TRAVELLED [(30X5) + T/2]
MINUTE HAND HAS TRAVELLED (5X360 + 6T)
WE CAN IGNORE '5X360' SINCE AFTER 5 ROTATIONS OF MINUTE HAND IT'S POSITION WILL REMAIN SAME; SO WE HAVE TO CONSIDER
ONLY '6T' PART
150+T/2=6T
So, 150=5.5T
Therefore T= 150/5.5 MINS