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

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

Solution:
Let x km be covered in y hours.
Then, speed = x​/y km/hr

In the second case, x/2​ km is covered in 2y hours.
∴ New speed = (x/2)/2y km/hr
= x/4y

∴ Ratio of speeds = x/y : x/4y
= 1 : 1/4
= 4 : 1