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 1

Answer:

the length of the race track is 850m

Answer 2

Length of the racetrack is 850 m.

Let us say, the length of the racetrack is X m.

Now let's consider two cases.

a) When Amar finishes the race.

b) When Akbar finishes the race.

When Akbar finishes the race:

When he finishes the race he would be 300 m ahead of Antony.

Let's say he takes t1 time to finish the race.

Hence,

Hence , Akbar's speed = (x-300)/X

Now, When Amar finishes the race,

Akbar would have run (x-160) m

Antony would have run (x-400) m

At this point, Akbar's speed= (x-400)/(x-160)

Equating both equations, we get

(x-400)/(x-160)=(x-300)/X

Solving we get, X= 850 m