Question

In a 1000 m race, Dhoni beat Raina by 100 m and Kohli by 150 m. In a race of 360 m, Raina will beat Kohli by?

• A. 30 m
• B. 20 m
• C. 40 m
• D. 24 m
• E. None of these

Answer 1

The correct option is B

20 m

Since Dhoni : Raina = 1000 : 900 and Dhoni : Kohli = 1000 : 850

So,$\frac{R}{K}$ = $\frac{R}{D}$ $\times$ $\frac{D}{K}$ = $\frac{900}{1000}$ $\times$ $\frac{1000}{850}$ = $\frac{18}{17}$

When Raina travels 18 m then Kohli travels 17 m,

When Raina travels 360 m then Kohli travels 340 m.

So, Raina beats Kohli by 20 m.