In a race of 200 m, B can give a start of 10 m to A and C can give a start of 20 m to B. The start that C can… · ABC26GN5120
Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: S.S.C. 2007
In a race of $200 \mathrm{m}, B$ can give a start of 10 m to $A$ and $C$ can give a start of 20 m to $B$. The start that $C$ can give to $A$ in the same race is
(a)27 m
(b)29 m
(c)30 m
(d)25 m
Answer
Answer (as printed): B
Explanation
$B: A=200: 190, C: B=200: 180$ $\frac{C}{A}=\left(\frac{C}{B} \times \frac{B}{A}\right)=\left(\frac{200}{180} \times \frac{200}{190}\right)=\frac{200}{171}$. $\therefore C$ can give to $A$, a start of $(200-171) \mathrm{m}=29 \mathrm{m}$.