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.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A man covers a certain distance by bike. If he covers 25% of the distance at the speed of 25 km/hr, 50% of the distance at the speed of 50 km/hr and the remaining distance at the speed of 12.5 km/hr, find his average speed over the whole journey.
Question : A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance?
Question : A person covers 28 km while walking at a speed of 8 km/hr. How much distance (in km) will he cover at the same time if he walks at a speed of 6 km/hr?
Question : If Abhi travels a certain distance at 6 km/hr, he reaches his destination 12 minutes early, but if he travels at 4 km/hr, he reaches his destination 10 minutes late. The speed (in km/hr) at which he should travel to reach his destination on time is _____.
Question : A boy is late by 9 minutes if he walks to school at a speed of 4 km/hr. If he walks at the rate of 5 km/hr, he arrives 9 minutes early. The distance to his school is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile