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

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1 hr

$A) 1 h r$

2 hr

$2 \frac{1}{2} h r s$

answer is C.

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Detailed Solution

$R a t i o o f s p e e d \Rightarrow 3 : 4$

$R a t i o o f t i m e \Rightarrow 4 : 3,$ let us assume ‘A’ take 4 x hrs, ‘B’ takes 3x hrs.

$4 x - 3 x = \frac{30}{60} h r$

$x = \frac{1}{2} h r$

$∴ A t o r e a c h d e s t i n a t i o n i s 4 x = 4 \times \frac{1}{2} = 2 h r s$

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