In covering a certain distance, the speed of A and B are

In covering a certain distance, the speed of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :

Let the distance of destination be D km
Let the speed of A = 3x km/hr
then speed of B = 4x km/hr
∴ According to question,

D	−	D	= 30 minutes
3x		4x

=	1	hr
	2

∴	D	=	1
	12x		2

⇒	D	=	4	= 2 hours
	3x		2

Hence, time taken by A to reach
destination = 2hrs.

Second Method :
Here, S₁ = 3x, S₂ = 4x

t₂= y, t₁ = y +	30	= y +	1
	60		2

S₁t₁ = S₂t₂

3x ×		y +	1		= 4 x × y
			2

3y +	3	= 4y
	2

y =	3
	2

∴ Time taken by A =	3	+	1	= 2 hrs.
	2		2