Practice Questions
Concept Explanation
Speed = Distance ÷ Time, Distance = Speed × Time, and Time = Distance ÷ Speed. Keep units consistent (km with hours, metres with seconds).
Key Formulas
- Speed (km/h) = Distance (km) / Time (hours)
- If speed doubles for the same distance, time halves.
- Distance in km at speed v km/h for t hours = v × t
Example
A car covers 240 km in 4 hours. Speed = 240/4 = 60 km/h.
Common Trap
Do not mix units (km with minutes) without converting. Convert minutes to hours by dividing by 60.
-
Q1 Easy
A car covers a distance of 240 km in 4 hours. What is the speed of the car in km/h?
ExplanationSpeed = Distance ÷ Time = 240 ÷ 4 = 60 km/h. -
Q2 Easy
A cyclist rides at a constant speed of 15 km/h. What distance will the cyclist cover in 3 hours?
ExplanationDistance = Speed × Time = 15 × 3 = 45 km. -
Q3 Easy
A train covers a total distance of 900 km at a uniform speed of 90 km/h. How much time does the train take to complete the journey?
ExplanationTime = Distance ÷ Speed = 900 ÷ 90 = 10 hours. -
Q4 Easy
A person walks at a speed of 8 km/h for 2.5 hours without stopping. What total distance does the person cover?
ExplanationDistance = 8 × 2.5 = 20 km. -
Q5 Easy
A bus must travel 120 km at a speed of 40 km/h. How long will the journey take?
ExplanationTime = 120 ÷ 40 = 3 hours. -
Q6 Medium
How much time will a vehicle take to cover 180 km if it moves at 72 km/h throughout the journey?
ExplanationTime = 180 ÷ 72 = 2.5 hours. -
Q7 Easy
If a vehicle covers the same fixed distance at double the speed, what happens to the time taken for the journey?
ExplanationFor a fixed distance, time is inversely proportional to speed.
-
Q8 Easy
A motorist travels 360 km in 5 hours. What is the average speed of the motorist in km/h?
ExplanationSpeed = 360 ÷ 5 = 72 km/h. -
Q9 Medium
A runner covers a distance of 5 km in 20 minutes. What is the speed of the runner in km/h?
Explanation20 minutes = 1/3 hour. Speed = 5 ÷ (1/3) = 15 km/h. -
Q10 Medium
A car travels 150 km at 50 km/h and then returns the same 150 km at 75 km/h. What is the total time for the round trip?
ExplanationTotal time = 150/50 + 150/75 = 3 + 2 = 5 hours. -
Q11 Medium
At a constant speed of 60 km/h, how far can a vehicle travel in 45 minutes?
Explanation45 minutes = 0.75 hour. Distance = 60 × 0.75 = 45 km. -
Q12 Easy
An athlete completes a distance of 1 km in 2 minutes. What is the speed of the athlete in km/h?
Explanation2 minutes = 1/30 hour. Speed = 1 ÷ (1/30) = 30 km/h. -
Q13 Hard
For a journey of 450 km, how much time is saved by travelling at 50 km/h instead of 45 km/h?
ExplanationTime saved = 450/45 − 450/50 = 10 − 9 = 1 hour. -
Q14 Easy
Which of the following relations among speed, distance, and time is correct?
ExplanationThe fundamental relation is Distance = Speed × Time.
-
DS1 Easy
What is the speed of the vehicle in km/h?
Statement IThe vehicle covers a distance of 240 km in 4 hours.
Statement IIThe vehicle takes 4 hours to travel a distance of 240 km.
ExplanationEach statement alone gives speed = 240 ÷ 4 = 60 km/h. -
DS2 Easy
How long does the trip take in hours?
Statement IThe distance of the trip is 180 km.
Statement IIThe vehicle travels the entire trip at 60 km/h.
ExplanationBoth statements are needed: time = 180 ÷ 60 = 3 hours.
-
DS3 Easy
Is the speed of the vehicle greater than 50 km/h?
Statement IA distance of 300 km is covered in 5 hours.
Statement IIA distance of 360 km is covered in 6 hours.
ExplanationEach statement alone gives speed = 60 km/h, which is greater than 50 km/h. -
DS4 Easy
What is the total distance covered by the vehicle?
Statement IThe speed of the vehicle is 72 km/h.
Statement IIThe travel time is 2.5 hours.
ExplanationBoth speed and time are needed: distance = 72 × 2.5 = 180 km.