1. ## Speed and Distance

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

(a)4:1
(b)1:4
(c)2:1
(d)1:2

2. Distance = Rate * Time

The problem statement asks about the ratio of speeds, so it may be prudent to solve for speed.

Rate1 = Distance / Time

"If half of this distance is covered in double the time"

Rate2 = (Distance/2) / (2*Time) = (Distance / Time)/4

Now what?

3. Ok, so the first speed can be expressed as x/y or 1. The second can be identified as 2x/.5y, or 4. So the ratio is 1 to 4.