Practice | Hashtable

1. In a kilometre race, A beats B by 100 m and B beats C by 150 m. In the same race, by how many metres does A beat C ?

A. 225 m

B. 235 m

C. 240 m

D. 250 m

Solution:

A : B = 1000 : 900 and
B : C = 1000 : 850

\begin{aligned} ∴ \frac{A}{C} = \frac{A}{B} \times \frac{B}{C} \\ = \frac{1000}{900} \times \frac{1000}{850} \\ = \frac{1000}{765} \end{aligned}

A : C = 1000 : 765
∴ A beats C by (1000 - 765) m = 235 m

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