Question

Amar, akbar and anthony ran on a racetrack, with amarfinishing 160 m. Ahead of akbar and 400 m ahead ofanthony. Akbar finished the race 300 m ahead ofanthony. The three of them ran the entire distance withtheir respective constant speeds. What was the lengthof the racetrack

Answer 1

Step-by-step explanation:

Given 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 race track

• We know that speed is directly proportional to distance and so total distance can be calculated.
• Let the length of the race track be t.
• Therefore length of the race track = 400 + t
• Also 400 – 160 = 240
• So ratio of Akbar and Anthony’s speed can be calculated as
• 240 + t / t = 400 + t / 100 + t
• (240 + t)(100 + t) = t(400 + t)  
• 24000 + 100 t + 240 t + t^2 = 400 t + t^2
• 24000 + 340 t = 400 t
• So 60 t = 24000
• So t = 400 m
• So 400 + 400 = 800 m

Therefore length of the race track is 800 m.