Question

Amar, Akbar and Anthony ran on a racetrack, with Amar finishing 160 m ahead of Akbar and 400 m ahead of Anthony. Akbar finished the race 300 m ahead of Anthony. The three of them ran the entire distance with their respective constant speeds. What was the length of the racetrack?

• A. 600m
• B. 800 m
• C. 1000 m
• D. 500 m
• E. 1200 m

Answer 1

The correct option is B

800 m

Using the concept of ratios of speed (speed directly proportional to distance), we can easily arrive at the total distance. The images below give

a picture of the distances when Amar and Akbar finish the race

Length of the race track = 400 +x

The ratio of Akbar and Anthony's speed can be arrived at as

$\frac{240+x}{x}=\frac{400+x}{100+x}$

Now go from answer options, answer will be option (b) 800 m

Verifying, x = 400

$\frac{640}{400}=\frac{800}{500}$. Thus, answer is option (b)