Mathematics (US) - 0444 CIE

Speed, Distance And Time Problems

Overview

Speed ties together two everyday quantities, distance and time, in a single tidy relationship. Once you know any two of speed, distance and time, the third follows at once. This one idea answers a huge range of real questions, from how long a journey takes to how fast you must travel to arrive on time.

In this lesson you will use the relationship between speed, distance and time to solve problems involving average speed. You will learn to rearrange the formula confidently and, just as importantly, to keep your units consistent so the answers come out right.

Objectives

  1. Solve problems involving average speed using the relationship between speed, distance and time.

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Mind map

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Flashcards

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Lesson Note

Journeys, deliveries and races all hinge on the link between speed, distance and time. A single formula, used carefully, lets you predict arrival times, compare routes and check whether a claimed speed is even possible. The skill of keeping units consistent here carries over to every applied calculation you will meet.

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Lesson Evaluation

Congratulations on completing the lesson on Speed, Distance And Time Problems. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. A car travels 150 km in 2.5 hours. What is its average speed? A. 50 km/h B. 60 km/h C. 75 km/h D. 375 km/h Answer: B
  2. How long does a 180 km journey take at 72 km/h? A. 2 hours B. 2.5 hours C. 3 hours D. 2.5 minutes Answer: B
  3. A cyclist covers 24 km in 48 minutes. What is the average speed in km/h? A. 0.5 km/h B. 24 km/h C. 30 km/h D. 50 km/h Answer: C
  4. What distance is covered in 3 hours at 40 km/h? A. 13.3 km B. 43 km C. 120 km D. 37 km Answer: C
  5. A time of 30 minutes equals how many hours? A. 0.30 B. 0.5 C. 3 D. 50 Answer: B

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