Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: · Marks: · Difficulty:
A runs $1 \frac{3}{4}$ times as fast as B. If A gives B a start of 84 m, how far the winning post be so that A and B might reach it at the same time?
Answer
Answer (as printed):
Explanation
$A: B=\frac{7}{4}: 1=7: 4$. Thus, in a race of 7 m, A gains 3 m over B. 3 m are gained by A in a race of 7 m. 84 m are gained by A in a race of $\left(\frac{7}{3} \times 84\right) \mathrm{m}=196 \mathrm{m}$. $\therefore$ Winning post must be 196 m away from the starting point.