Question : The speeds of two bodies are in the ratio 2 : 3. If the difference in the time taken to cover 50 m is 10 sec, then find the difference in their speeds.
Option 1: $\frac{8}{9} \mathrm{~m} / \mathrm{sec}$
Option 2: $\frac{5}{6} \mathrm{~m} / \mathrm{sec}$
Option 3: $\frac{6}{5} \mathrm{~m} / \mathrm{sec}$
Option 4: $\frac{7}{5} \mathrm{~m} / \mathrm{sec}$
Correct Answer: $\frac{5}{6} \mathrm{~m} / \mathrm{sec}$
Solution :
Let the speed of two bodies be $2x$ and $3x$.
Time taken by first body = $\frac{50}{2x}$
Time taken by second body = $\frac{50}{3x}$
According to the question,
$\frac{50}{2x}-\frac{50}{3x}=10$
⇒ $\frac{150-100}{6x}=10$
⇒ $50=60x$
⇒ $x=\frac{50}{60}=\frac{5}{6}$
Hence, the correct answer is $\frac{5}{6} \mathrm{~m} / \mathrm{sec}$.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
