If a train runs at 40 km/hour, it reaches its destination

If a train runs at 40 km/hour, it reaches its destination late by 11 minutes. But if it runs at 50 km/hour, it is late by 5 minutes only. The correct time (in minutes) for the train to complete the journey is

If the distance be x km, then

x	−	x	=	6
40	−	50	=	60

⇒	x	−	x	= 1
	4		5

⇒ x = 20 km.

∴ Required time =		20		hour – 11 minutes
		40

=		1	× 60 − 11		minutes
		2

= 19 minutes