[2 hour] In a covering, a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes

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In a covering, a certain distance, the speeds 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?

1 hour

1 1/2 hour

2 hour

2 1/2 hour

Explanation:

Ratio of speeds = 3:4

Ratio of times taken = 4:3

Suppose A takes 4x hrs and B takes 3x hrs to reach the destination.

Then, 4x - 3x = 30/60 $\Rightarrow$ x = 1/2

Time taken by A = 4x hrs = 4 $\times$ 1/2 = 2 hrs.

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