A train passes a man standing on a platform in 8 seconds

A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds. The length of the train (in metres) is :

Rule 10 and Rule 1,
Let length of train be x m

∴ Speed of train =	x + 264
	20

Also, speed of train =	x
	8

Obviously,	x	=	x + 264
	8		20

⇒	x	=	x + 264
	2		5

⇒ 5x = 2x + 528
⇒ 5x – 2x = 528
⇒ x = 528 ÷ 3 = 176 m