Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: 2006 · Marks: · Difficulty:
In a kilometre race, $A$ beats $B$ by 30 seconds and $B$ beats $C$ by 15 seconds. If $A$ beats $C$ by 180 m, the time taken by $A$ to run 1 kilometre, is
(a)200 sec
(b)205 sec
(c)210 sec
(d)250 sec
Answer
Answer (as printed): B
Explanation
In a km race, suppose $A$ takes $t$ sec. Then, $B$ takes $(t+30)$ sec. and $C$ takes $(t+45)$ sec. 180 m is covered by $C$ in 45 sec. $$\therefore 1000 \mathrm{m} \text { is covered by } C \text { in }\left(\frac{45}{180} \times 1000\right) \mathrm{sec}=250 \mathrm{sec} \text {. }$$ ∴ A covers 1000 m in (250-45) sec = 205 sec.