Question

In a linear race, Harsha beats Dinesh by 25 meters, Dinesh beats Venkat by 40 meters, and Harsha beats Venkat by 60 meters. Find the length of the race.

• A. 200 metres
• B. 500 metres
• C. 800 metres
• D. 1000 metres

Answer 1

The correct option is A 200 metres

Let the length of the race be “L” metres,

From the given data, the following table can be formed.

	Harsha	Dinesh	Venkat
Race 1	L	L - 25	L - 60
Race 2		L	L - 40

Using unitary method,
$(L-25)(L-40)=L(L-60)$

$\Rightarrow L^2-25L-40L+1000=L^2-60L$

⇒ L = 200 metres

Hence, option A is the correct answer.