A man can row 6 km/h in still water. If the speed of the

A man can row 6 km/h in still water. If the speed of the current is 2 km/h, it takes 3 hours more in upstream than in the downstream for the same distance. The distance is

Let the required distance be d km.

∴	d	-	d	= 3
	6 - 2		6 + 2

⇒	d	-	d	= 3
	4		8

⇒	2d - d	= 3
	8

⇒ d = 3 × 8 = 24 km.
Second method to solve this question :
Here, Speed of Boat = 6 km/hr
Speed of Current = 2 km/hr
t₁ = 3 + t₂

	Speed of Boat	=	t₁ + t₂
	Speed of Stream		t₁ - t₂

6	=	3 + 2t₂
2	=	3

⇒ 9 = 3 + 2t₂
⇒ t₂ = 3 hrs
Distance = Speed × time
Hence , Distance = (6 + 2) × 3 = 24 km