Sample Questions and Answers
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Q: If a car travels 60 km in 2 hours, what is its speed?
A: The speed of the car is 30 km/h. Speed = Distance/Time, so 60 km ÷ 2 hours = 30 km/h. -
Q: A cyclist covers 15 km in 45 minutes. What is his speed?
A: The cyclist’s speed is 20 km/h. Speed = Distance/Time, so 15 km ÷ (45 minutes ÷ 60) = 20 km/h. -
Q: A train travels at 80 km/h for 4 hours. How far does it travel?
A: The train covers 320 km. Distance = Speed × Time, so 80 km/h × 4 hours = 320 km. -
Q: A plane flies for 5 hours at a speed of 500 km/h. How far does it travel?
A: The plane travels 2500 km. Distance = Speed × Time, so 500 km/h × 5 hours = 2500 km. -
Q: If a car travels 90 km in 3 hours, how long will it take to travel 150 km?
A: It will take 5 hours to travel 150 km. Speed = 90 km ÷ 3 hours = 30 km/h, so Time = Distance ÷ Speed = 150 km ÷ 30 km/h = 5 hours.
Books on Time Speed and Distance Questions
1. Objective General Knowledge by R. S. Aggarwal
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Published by: S. Chand Publications
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Content: This book provides a variety of time speed and distance questions with detailed solutions. It includes practice questions from competitive exams and is suitable for improving problem-solving skills in real-world scenarios.
2. Fast Track Objective Arithmetic by Rajesh Verma
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Published by: Arihant Publications
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Content: A comprehensive guide with a large number of practice questions. It focuses on speed and distance problems and prepares the reader for competitive exams.
3. Quantitative Aptitude for Competitive Examinations by R. S. Aggarwal
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Published by: S. Chand Publications
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Content: Offers a large collection of time speed and distance questions, with detailed solutions to improve problem-solving speed.
4. Higher Mathematics for Class 11 by R. D. Sharma
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Published by: Dhanpat Rai Publications
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Content: Includes basic time-speed-distance problems suitable for high school students. The book includes problems with varied levels of difficulty and detailed solutions.
5. Advanced Problems in Mathematics for JEE by Vikas Gupta
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Published by: Arihant Publications
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Content: This book includes a range of advanced time-speed-distance questions tailored for engineering entrance exams. It also provides comprehensive step-by-step solutions.
6. Quantitative Aptitude by M. Tyra
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Published by: Tata McGraw Hill
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Content: A perfect choice for practice, this book provides a variety of time-speed-distance problems and solutions, ideal for competitive exam preparation.
7. SSC Mathematics by Kiran Prakashan
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Published by: Kiran Prakashan
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Content: This book offers multiple choice questions on time, speed, and distance, with a focus on the SSC exams. It provides both basic and advanced level problems.
8. Trigonometry and Geometry for Competitive Exams by S. L. Loney
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Published by: Gitanjali Publishers
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Content: Although it primarily focuses on geometry, it includes excellent sections on time, speed, and distance problems and their real-world applications.
9. General Aptitude for Competitive Examinations by N. K. Gupta
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Published by: Upkar Prakashan
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Content: A book focused on general aptitude with special sections dedicated to time-speed-distance problems. It offers practice questions along with logical solutions.
10. Competitive Aptitude for SSC and Bank Exams by S. Chand
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Published by: S. Chand Publications
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Content: This book provides a thorough coverage of time-speed-distance questions aimed at SSC and banking exams, with ample practice material.
11. Kiran’s SSC CGL Exam Guide by Kiran Prakashan
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Published by: Kiran Prakashan
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Content: A guide focused on the SSC CGL exam, which includes extensive coverage of time-speed-distance problems, helping students sharpen their problem-solving techniques.
12. Time and Distance by R. S. Aggarwal
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Published by: S. Chand Publications
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Content: A dedicated book entirely on time and distance problems, featuring detailed solutions and explanations, suitable for competitive exam preparation.
13. Quantitative Aptitude by Arun Sharma
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Published by: Tata McGraw Hill
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Content: A book containing a broad range of time-speed-distance problems, designed to challenge students and prepare them for exams like CAT and others.
14. The Pearson Guide to Quantitative Aptitude for Competitive Examinations by Dinesh Khattar
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Published by: Pearson Education
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Content: This book covers a variety of time-speed-distance problems, offering helpful tips and techniques to solve complex questions efficiently.
15. Mathematics for Class 10 by R. D. Sharma
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Published by: Dhanpat Rai Publications
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Content: An excellent book for students studying Class 10, it contains a number of time-speed-distance problems with step-by-step solutions.
FAQ for Time Speed and Distance Questions
1. What is the formula to calculate speed?
The formula for speed is:
Speed = Distance ÷ Time
2. How do I solve problems with time, speed, and distance?
To solve these problems, identify the known values (speed, distance, or time) and use the formula to find the unknown. Apply the relationships between the three quantities to set up equations and solve them.
3. What are some real-world applications of time, speed, and distance problems?
These problems are used to calculate travel time, determine the speed of vehicles, or estimate the distance covered in various scenarios such as sports, trains, and flights.
4. Can time, speed, and distance problems be solved without formulas?
While formulas provide a structured way to solve these problems, many can be solved logically through reasoning and understanding of the relationship between time, speed, and distance.
5. How do you handle mixed-time speed and distance questions?
For mixed problems, break them down into smaller steps. Use the appropriate formulas and check for conditions like different units of time or distance.
6. Are there different techniques to solve time, speed, and distance questions efficiently?
Yes, using unitary methods, ratio and proportion, and applying logical thinking can help solve these problems more quickly and accurately.
7. How do I improve my problem-solving speed for time and distance questions?
Practice consistently and try solving problems without using a calculator to improve mental calculations. Working on pattern recognition also helps improve speed.
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