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 todistance), we can easily arrive at the totaldistance. The images below give
apicture 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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:
B
Using the concept of ratios of speed (speed directly proportional todistance), we can easily arrive at the totaldistance. The images below give
apicture 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)
Was this answer helpful ?
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