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?
Answer: Option B
:
B
Using the concept of ratios of speed (speed directly proportional to distance), we can easily arrive at the total distance. The images below give
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:
B
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
240+xx=400+x100+x
Now go from answer options, answer will be option (b) 800 m
Verifying, x = 400
640400=800500. Thus, answer is option (b)
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