ABC26GN5108 · Races and Games of Skill

Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: · Marks: · Difficulty:

In a 100 m race, A beats B by 25 m and B beats C by 4 m. In the same race, find the distance by which A beats C.

Answer

Answer (as printed):

Explanation

$A: B=100: 75$ and $B: C=100: 96$. $$\therefore A: C=\left(\frac{A}{B} \times \frac{B}{C}\right)=\left(\frac{100}{75} \times \frac{100}{96}\right)=\frac{100}{72}=100: 72 .$$ $A$ beats $C$ by $(100-72)$ m $= 28$ m.

Explanation as extracted from the printed page; notation may be imperfect.

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