Question : The ratio of the speeds of Aman, Kamal, and Manan is $4:5:6$, respectively. What is the ratio of the time taken by Aman, Kamal, and Manan, respectively, to cover the same distance?
Option 1: $10:12:15$
Option 2: $6:5:4$
Option 3: $4:5:6$
Option 4: $15:12:10$
Correct Answer: $15:12:10$
Solution :
Required ratio = $(\frac{1}{4}):(\frac{1}{5}):(\frac{1}{6})$
= $(\frac{1}{4}×60):(\frac{1}{5}×60):(\frac{1}{6}×60)$ [Multiplying each fraction by LCM of (4, 5 and 6) i.e., 60]
= $15:12:10$
Hence, the correct answer is $15:12:10$.
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