Deepak beats Ehsan by 20 m in a 200 m race, and Ehsan beats Firoz by 5 seconds over 200 m. Ehsan runs at 5 m/s. By how many metres does Deepak beat Firoz over 200 m?

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Accepted Answer

40 m. Ehsan takes 40 s, so Firoz takes 45 s: 200/45=40/9 m/s. Deepak finishes when Ehsan has run 180 m, i.e. after 36 s. In 36 s Firoz covers 36×40/9=160 m: margin 40 m. (45 m adds 20 m to the 25 m Ehsan runs in 5 s.)

Deepak beats Ehsan by 20 m in a 200 m race, and Ehsan beats Firoz by 5 seconds over 200 m. Ehsan runs at 5 m/s. By how many metres does Deepak beat Firoz over 200 m?

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