# What will be the Ratio of the Two Speeds?

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is:

- 4:1
- 1:4
- 2:1
- 1:2

**Answer: (1) 4:1**

Let be certain distance is = d

Time taken = t

Then speed (S_{1}) = distance travelled/time taken = d/t

Data given for second case,

New distance = half of original distance = d/2

Time taken during this journey = Double of original time = 2t

Then new speed (S_{2}) = (d/2)/2t = d/4t

Thus,

the ratio of two speeds = S_{1} / S_{2} = (d/t) / (d/4t) = 4

__Ratio of two speeds = 4 : 1 __