Question : If Mohan travels at 60% speed of his usual speed, then he will arrive 10 minutes late. What is the usual time taken by him?
Option 1: 12.5 minutes
Option 2: 15 minutes
Option 3: 10 minutes
Option 4: 20 minutes
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Correct Answer: 15 minutes
Solution : Given: Mohan travels at 60% = $\frac{3}{5}$ speed of his usual speed. Use the formula, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$. Let the man's speed be $5x$. ⇒ 60% of the speed = $5x\times \frac{3}{5}=3x$ Man's speed ratio before and after = $5x: 3x$ ⇒ The after and before time ratio = $3x: 5x$ According to the question, $5x-3x=10$ ⇒ $2x=10$ ⇒ $x=5$ minutes The usual time taken by him = $3x=3\times 5=15$ minutes. Hence, the correct answer is 15 minutes.
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Question : If a man travels at 12.5 percent less speed than his usual speed, then he will reach 9 minutes late. What is the usual time taken by him?
Option 1: 63 minutes
Option 2: 70 minutes
Option 3: 56 minutes
Option 4: 49 minutes
Question : Ram walks at the speed of 12 km/hr and reaches his school 12 minutes late. If he walks at 16 km/hr, then he reaches 8 minutes before the scheduled time. What is the distance of his school from his house?
Option 1: 16 km
Option 2: 30 km
Option 3: 20 km
Option 4: 24 km
Question : A girl, walking at $\frac{5}{6}$ of her usual speed, misses the bus by 7 minutes. How long does it usually take to reach the bus stop?
Option 1: 24 minutes
Option 2: 35 minutes
Option 3: 30 minutes
Option 4: 60 minutes
Question : Walking at the rate of 4 km/hr, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on a cycle, cycling at the rate of 16.5 km/hr, the time taken by him is:
Option 1: 55.45 minutes
Option 2: 54.55 minutes
Option 3: 55.44 minutes
Option 4: 45.55 minutes
Question : Ram travels with speeds of 15 km/hr, 10km/hr, and 12 km/hr for three equal distances. What is his average speed if the total distance travelled by him is 180 km?
Option 1: 15 km/hr
Option 2: 18 km/hr
Option 3: 20 km/hr
Option 4: 12 km/hr
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