Question

Roosevelt, churchill and stalin run on a linear racetrack. if roosevelt beats churchill by 20 seconds or 180 meters, churchill beats stalin by 40 seconds or 240 meters, what is the ratio of speeds of roosevelt and stalin?

Answer 1

x/R - 20 = x/C
I. e. R = x/(x/C + 20)........ Eq 1

x/C - 40 = x/S
I. e. S = x/(x/ C - 40) ........ Eq 2

Now Dividing Eq 1 & Eq 2
R / S = (x/C -40 )/ (x/C + 20)