In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many metres will A… · ABC26GN5117
Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: Railways 2006
In a 1000 m race, $A$ can beat $B$ by 100 m. In a race of 400 m, $B$ can beat $C$ by 40 m. By how many metres will $A$ beat $C$ in a race of 500 m?
(a)85 m
(b)95 m
(c)105 m
(d)115 m
Answer
Explanation
$$\begin{aligned} & A: B=1000: 900, B: C=400: 360=100: 90=900: 810 \\ & \Rightarrow A: B: C=1000: 900: 810 \Rightarrow A: C=1000: 810 \\ & =500: 405 \\ & \Rightarrow \text { In a } 500 \mathrm{m} \text { race, } A \text { beats } \mathrm{C} \text { by }(500-405) \mathrm{m}=95 \mathrm{m} . \end{aligned}$$
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