The ratio of the speeds of Amar, Akabar and antony is $8:5:4$. If Akbar takes $15$min more than Amar to cover a certain distance, find the time taken by Antony to cover the same distance.

When speeds are in the ratio 8 : 5 : 4, the times taken to cover the same distance are inversely proportional to the speeds, making the ratio of their times 1/8 : 1/5 : 1/4. Finding a common denominator of 40 gives the time ratio as 5 : 8 : 10 for Amar, Akbar and Antony. The difference between Amar's and Akbar's time ratio is 3 units, which corresponds to 15 minutes, meaning 1 unit is 5 minutes. Antony has a time ratio of 10 units, so the time taken is 10 * 5 = 50 minutes.

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