ABC26GN5119 · Races and Games of Skill
Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: · Marks: · Difficulty:
In a 200 m race, $A$ can beat $B$ by 31 m and $C$ by 18 m . In a race of $350 \mathrm{m}, C$ will beat $B$ by:
(a)22.75 m
(b)25 m
(c)19.5 m
(d)13 m
Answer
Explanation
$$\begin{aligned} & A: B=200: 169 \text { and } A: C=200: 182 \\ & \Rightarrow \frac{C}{B}=\left(\frac{C}{A} \times \frac{A}{B}\right)=\left(\frac{182}{200} \times \frac{200}{190}\right)=\frac{182}{169} \end{aligned}$$ When $C$ covers 182 m, $B$ covers $=169 \mathrm{m}$. When $C$ covers $350 \mathrm{m}, B$ covers $=\left(\frac{169}{182} \times 350\right) \mathrm{m}=325 \mathrm{m}$. $\therefore C$ beats $B$ by 25 m.
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