Train And Time
Fast trick to calculate train and time.
Train A travelling at 'S' m/sec. , can cross a plateform double its length in '36' seconds, the same train travelling at (S + 3 ) m/sec. can cross the same plateform in '15' seconds. What is the value of 'S' ?

By formula-
Speed = Distance / Time
STEP 1 :
Putting the values -
S= 3x / 36
S = 1 / 12
12S = x
STEP 2 :
S + 3 = 3 * 12S / 15
S + 3 = 36S / 15
5 ( S + 3 ) = 12 S
5S + 15 = 12 S
15 = 12 S - 5S
15 = 7S
2.1428571428571 m/sec. = S
S = 2.1428571428571 m/sec.