ABC26GN5109 · Races and Games of Skill

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

In a 100 m race, A runs at 8 km per hour. If A gives B a start of 5 m and still beats him by 15 seconds, what is B’s speed?
Answer
Answer (as printed):
Explanation
Time taken by A to cover 100 m $=\left(\frac{60 \times 60}{8000} \times 100\right) \mathrm{sec}=45 \mathrm{sec}$. $\therefore$ B covers $(100-5) \mathrm{m}=95 \mathrm{m}$ in $(45+15) \mathrm{sec}=60 \mathrm{sec}$. $\therefore$ B's speed $=\left(\frac{95}{60}\right) \mathrm{m} / \mathrm{sec}=\left(\frac{95}{60} \times \frac{18}{5}\right) \mathrm{km} / \mathrm{hr}=\frac{57}{10} \mathrm{km} / \mathrm{hr}=5.7 \mathrm{km} / \mathrm{hr}$.

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