Question : A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/hr. If he covers the same distance at 8 km/hr, he takes $x$ minutes less than the usual time. What is the value of $x$?
Option 1: 48
Option 2: 54
Option 3: 45
Option 4: 50
Correct Answer: 50
Solution :
Given: A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/hr.
He covers the same distance at 8 km/hr, he takes $x$ minutes less than the usual time.
$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
According to the question,
$\frac{5\times 8}{8–5}\times \frac{40+x}{60}=20$
⇒ $\frac{40}{3}\times \frac{40+x}{60}=20$
⇒ $40+x=\frac{20\times 3\times 60}{40}$
⇒ $40+x=90$
⇒ $x=90-40$
⇒ $x=50$
Hence, the correct answer is 50.
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 “”.
