Two men start together to walk a certain distance, one at

Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find the distance.

If the required distance be x km, then

x	−	x	=	1
3	−	4	=	2

⇒	4x − 3x	=	1
	12		2

⇒	x	=	1	⇒x = 6 km
	12		2

Second Method :
Here S₁ = 4, t₁ = x

S₂ = 3, t₂ = x +	1
	2

S₁t₁ = S₂t₂

4 × x = 3		x +	1
			2

4x – 3x =	3	x =	3
	2		2

Distance =4 ×	3	= 6 kms
	2