The ratio of the speeds of A and B is 3 : 4. A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.

40 min and 30 min
80 min 60 min
90 min and 45 min
90 min and 50 min

Correct Answer: 80 min 60 min

Explanation:

Ratio of speeds of A and B = 3 : 4
∴ Ratio of time taken = 4 : 3
Let time taken by A and B be 4k and 3k, respectively.
Then, according to the question,
4k - 3k = 20
⇒ k = 20
Hence, time taken by A = 4 x 20 = 80 min
And time taken by B = 3 x 20 = 60 min

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