1.

In covering a certain distance, the speeds 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 (a) 1 hour (b) \(1\frac12\) hours (c) 2 hours (d) \(2\frac12\) hours

Answer»

(c) 2 hrs

Ratio of speeds = 3 : 4 

⇒ Ratio of times taken = 4 : 3

Let A and B take 4x and 3x hrs to reach the destination. Then, 4x – 3x = \(\frac{30}{60}=\frac12\) ⇒ \(x=\frac12\)

Time taken by A = \(\bigg(4\times\frac12\bigg)\) hrs = 2 hrs.


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