The speeds of three trains are in the ratio of 2 : 3 : 5. The amount of time taken by these trains to travel the same distance is in the ratio of:

Correct option is A

Given:

The speed of three trains are in the ratio of 2 : 3 : 5

Concept used: 

Time is inversely proportional to the speed given that distance is constant $$= T ∝ \frac{1}{S}$$​​

Solution:

Time taken by the first train (T₁) = $$\frac{1}{2}$$​​

Time taken by the second train (T2) = $$\frac{1}{3}$$​​

Time taken by the third train (T3) = $$\frac{1}{5}$$​​​​

Therefore, the ratio of time taken by trains = T1 : T2 : T3 = $$\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$$​​

Hence, option (a) is the correct answer.