The speed of three bikes is in the ratio of 3 : 4 : 5. The ratio of the time taken by these bikes to travel the same distance is:

Correct option is A

Given:

The ratio of the speeds of three bikes = 3 : 4 : 5
We are to find the ratio of the time taken to cover the same distance.

Formula Used:
Time ∝ $$\frac{1 }{\text{ Speed}}$$​​
So, Time Ratio = Inverse of Speed Ratio

Solution:
Speed ratio = 3 : 4 : 5
Time ratio = $$\frac 13 : \frac 14 : \frac 15$$​​
take LCM of denominators (3, 4, 5) = 60
Time ratio =$$\frac{60}3 : \frac{60}4 : \frac{60}5$$​= 20 : 15 : 12