In a 500 m race Pooja gives Reema a start of 60 m and still beats her by 40 m. Assuming both run at constant speeds, the ratio of Pooja's speed to Reema's speed is:

Pooja runs the full 500 m. Reema starts 60 m up the track, so she has only 440 m to run — but when Pooja crosses the line Reema is still 40 m short of it, meaning she has covered 440 − 40 = 400 m. In the same time the two cover 500 m and 400 m, so their speeds are in the ratio 5 : 4. (Forgetting the 40 m beat gives 500 : 440 = 25 : 22, and forgetting the head start altogether gives 500 : 460.)