Question

Three runners Azad, Baghi and Milkha runs a race, with the runner Azad finishing 20 metres ahead of runner Baghi and 28 metres ahead of runner Milkha, while runner Baghi finishes metres ahead of runner Milkha. Each runner travels the entire distance at a constant speed. What was the length of the race?​

Answer 1

Answer:

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Step-by-step explanation:

=> Let the length of the race = x metres

=> When Azad finishes x m,

=> Baghi covers (x – 20) m

and

=> Milkha covers (x – 28) m

⇒ Speed of Baghi : Speed of Milkha = (x – 20):(x – 28)

Also,

=> when Baghi finishes x m,

=> Milkha covers (x – 18) m

⇒ Speed of Baghi : Speed of Milkha = x : (x – 18)

⇒ x-20/x-28 = x/x-18

⇒ x^2 – 38x + 360 = x^2 – 28x

⇒ x = 36

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Answer 2

noLet the length of the race = x metres

When Azad finishes x m, Baghi covers (x – 20) m and Milkha covers (x – 28) m

⇒ Speed of Baghi : Speed of Milkha = (x – 20):(x – 28)

Also, when Baghi finishes x m, Milkha covers (x – 18) m

⇒ Speed of Baghi : Speed of Milkha = x : (x – 18)

⇒ x-20/x-28 = x/x-18 ⇒ x^2 – 38x + 360 = x^2 – 28x ⇒ x = 36