Understanding the concepts of Time, Speed, and Distance is crucial for students preparing for various exams. These topics frequently appear in both school and competitive exams, making it essential to practice MCQs and objective questions. By solving practice questions, students can enhance their problem-solving skills and improve their chances of scoring better in exams.
What You Will Practise Here
Fundamental definitions of Time, Speed, and Distance
Key formulas and their applications
Relative speed concepts and calculations
Problems involving trains, cars, and other moving objects
Graphical representation of motion
Time taken for journeys and average speed calculations
Real-life applications and scenario-based questions
Exam Relevance
The topic of Time, Speed, and Distance is a staple in CBSE, State Boards, NEET, and JEE exams. Students can expect to encounter a variety of question patterns, including direct calculations, word problems, and conceptual questions. Mastery of this topic not only aids in scoring well but also builds a strong foundation for higher-level physics and mathematics concepts.
Common Mistakes Students Make
Confusing the units of measurement (e.g., km/h vs. m/s)
Misapplying the formula for average speed
Overlooking the direction of motion in relative speed problems
Failing to convert time units correctly when solving problems
FAQs
Question: What is the formula for calculating speed? Answer: Speed is calculated using the formula: Speed = Distance / Time.
Question: How do I find the time taken for a journey? Answer: Time can be found using the formula: Time = Distance / Speed.
Question: What is relative speed? Answer: Relative speed is the speed of one object as observed from another moving object, calculated by adding or subtracting their speeds based on their direction.
Now that you understand the importance of Time, Speed, and Distance, it’s time to put your knowledge to the test! Solve our practice MCQs and reinforce your understanding to excel in your exams.
Q. A boat can travel 30 km upstream in 2 hours. What is the speed of the current if the speed of the boat in still water is 15 km/h?
A.
2.5 km/h
B.
3 km/h
C.
3.5 km/h
D.
4 km/h
Solution
Speed upstream = Speed of boat - Speed of current. Speed upstream = 30 km / 2 h = 15 km/h. Therefore, 15 km/h - Speed of current = 15 km/h, so Speed of current = 0 km/h.
Q. A car and a bike start from the same point and travel in the same direction. The car travels at 100 km/h and the bike at 50 km/h. How far apart will they be after 1 hour?
A.
25 km
B.
30 km
C.
50 km
D.
60 km
Solution
Distance apart = (Speed of Car - Speed of Bike) × Time = (100 km/h - 50 km/h) × 1 hour = 50 km.
Q. A car and a bike start from the same point and travel in the same direction. The car travels at 100 km/h and the bike at 40 km/h. How far apart will they be after 1 hour?
A.
40 km
B.
50 km
C.
60 km
D.
70 km
Solution
Distance apart = (100 km/h - 40 km/h) × 1 h = 60 km.
Q. A man walks at a speed of 4 km/h and runs at 8 km/h. If he walks for 30 minutes and then runs for 15 minutes, what is his average speed for the entire trip?
A.
5 km/h
B.
6 km/h
C.
7 km/h
D.
8 km/h
Solution
Total distance = (4 km/h × 0.5 h) + (8 km/h × 0.25 h) = 2 km + 2 km = 4 km. Total time = 0.5 h + 0.25 h = 0.75 h. Average speed = Total distance / Total time = 4 km / 0.75 h = 5.33 km/h.
Q. A man walks at a speed of 4 km/h and runs at a speed of 10 km/h. If he walks for 1 hour and then runs for 1 hour, what total distance does he cover?
A.
14 km
B.
15 km
C.
16 km
D.
17 km
Solution
Distance = Walking distance + Running distance = 4 km + 10 km = 14 km.
Q. A man walks at a speed of 4 km/h and runs at a speed of 12 km/h. If he walks for 1 hour and then runs for 1 hour, what total distance does he cover?
A.
16 km
B.
20 km
C.
24 km
D.
28 km
Solution
Distance = Walking distance + Running distance = 4 km + 12 km = 16 km.
Q. A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h. What is the average speed for the entire journey?
A.
6 km/h
B.
7 km/h
C.
8 km/h
D.
9 km/h
Solution
Total distance = 30 km + 20 km = 50 km. Total time = (30/10) + (20/5) = 3 + 4 = 7 hours. Average speed = Total distance / Total time = 50 km / 7 h = 7.14 km/h.
Q. A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/h. What is the average speed for the entire journey?
A.
25 km/h
B.
30 km/h
C.
35 km/h
D.
40 km/h
Solution
Total time = (60/20) + (40/40) = 3 + 1 = 4 hours. Total distance = 60 + 40 = 100 km. Average speed = Total distance / Total time = 100 km / 4 h = 25 km/h.
