Solving Word Problems SPEED, DISTANCE and TIME | LET and Civil Service Exam Reviewer

MATH TEACHER GON
4 May 202208:22
EducationalLearning
32 Likes 10 Comments

TLDRIn this educational video, the teacher delves into the concepts of speed, distance, and time, particularly focusing on problems relevant to students preparing for licensure examinations and civil service tests. The video presents two distinct problems to illustrate the application of these concepts. The first problem involves calculating the speed of a plane that travels 395,000 meters in 90 seconds, using the formula speed = distance/time, and resulting in a speed of 43.9 meters per second. The second problem concerns an athlete who throws a flying disc 139 meters at an average speed of 13 meters per second, with the challenge being to find out how long the disc remains in the air. By applying the formula time = distance/speed, the video demonstrates how to solve for time, concluding that the disc was airborne for 10.7 seconds. The video is designed to be both informative and engaging, encouraging viewers to apply these fundamental principles to real-world scenarios.

Takeaways
  • πŸ“– The video focuses on solving word problems involving speed, distance, and time, which are useful for students and adults preparing for licensure and civil service exams.
  • πŸŽ“ Shout outs are given to students dealing with these topics, emphasizing the video's educational purpose.
  • πŸŽ₯ A previous video is referenced where the formula for calculating distance, speed, and time using a triangle method was derived, directing viewers for a recap.
  • πŸ“š The key formulas used are speed = distance / time and time = distance / speed, highlighted through problem-solving examples.
  • πŸ“ˆ An example is worked through calculating the speed of a plane that travels 395,000 meters in 90 seconds, illustrating the application of the formula.
  • πŸ‘€ Manual calculation steps are demonstrated, including simplifying the numbers by canceling out zeros for ease.
  • πŸ’» The use of calculators is recommended for efficiency but manual computation is also showcased for understanding.
  • πŸ“„ Another problem example involves calculating how long a disc remains in the air if it travels 139 meters at an average speed of 13 meters per second.
  • πŸ”₯ Encouragement is offered to viewers facing exams with expressions like 'fighting', boosting morale and engagement.
  • πŸ“² Calls to action include reminders to like and subscribe to the channel, helping to build a community and audience engagement.
Q & A
  • What is the main topic discussed in the video?

    -The main topic discussed in the video is the relationship between speed, distance, and time, with a focus on solving problems involving these three variables.

  • What does the teacher suggest for students who are preparing for licensure examinations?

    -The teacher suggests that students preparing for licensure examinations, as well as other examinations like civil service examinations, should pay attention to the topic of speed, distance, and time.

  • What is the formula for calculating speed?

    -The formula for calculating speed is speed equals distance divided by time, which can be represented as speed = d/t.

  • In the first problem, what is the distance traveled by the plane?

    -In the first problem, the plane travels a distance of 395,000 meters.

  • How many seconds does it take for the plane to travel the given distance in the first problem?

    -It takes the plane 90 seconds to travel the given distance of 395,000 meters.

  • What is the speed of the plane in the first problem, in meters per second?

    -The speed of the plane in the first problem is 43.9 meters per second.

  • What is the formula used to calculate the time a flying disc remains in the air in the second problem?

    -The formula used to calculate the time a flying disc remains in the air is time equals distance divided by speed, represented as time = d/s.

  • How far did the flying disc travel in the second problem?

    -The flying disc traveled a distance of 139 meters in the second problem.

  • What was the average speed of the flying disc in the second problem?

    -The average speed of the flying disc in the second problem was 13 meters per second.

  • How long did the flying disc remain in the air in the second problem, in seconds?

    -The flying disc remained in the air for 10.7 seconds in the second problem.

  • What advice does the teacher give to the viewers at the end of the video?

    -The teacher advises viewers to learn from the video on how to calculate speed, distance, and time problems and encourages them to like and subscribe to the channel for more educational content.

  • Why is it important to understand the relationship between speed, distance, and time?

    -Understanding the relationship between speed, distance, and time is important because it is a fundamental concept in physics and is applicable in various real-life situations, such as transportation, sports, and problem-solving in examinations.

Outlines
00:00
πŸ“š Introduction to Speed, Distance, and Time Problems

The first paragraph introduces the topic of the video, which is about speed, distance, and time. The speaker, referred to as 'teacher', addresses students who are encountering such problems in various contexts, including licensure examinations for teachers and civil service examinations. The paragraph sets the stage for discussing two specific problems related to these concepts. The speaker also refers to a previous video where the distance, speed, and time were calculated and a formula was derived. The focus is on applying the formula to find either speed or time given the other two variables.

05:02
✈️ Calculating Speed Given Distance and Time

This paragraph presents the first problem, which involves calculating the speed of a plane that travels 395,000 meters in 90 seconds. The speaker explains the formula for speed (speed = distance/time) and demonstrates how to apply it by substituting the given values into the formula. The calculation is shown both manually and using a calculator, resulting in a speed of 43.9 meters per second for the plane.

πŸ₯ Determining Time of Flight for a Thrown Disc

The second paragraph deals with the problem of calculating the time a flying disc remains in the air after an athlete throws it 139 meters at an average speed of 13 meters per second. The speaker uses the formula for time (time = distance/speed) to solve the problem. After substituting the given values into the formula, the time the disc remains in the air is calculated to be 10.7 seconds. The paragraph concludes with an encouragement for viewers to learn from the video and apply the knowledge to similar problems.

Mindmap
Keywords
πŸ’‘Speed
Speed is a measure of how fast an object is moving. It is defined as the distance traveled per unit of time. In the video, speed is a central concept used to solve problems involving motion. For example, the teacher calculates the speed of a plane that travels 395,000 meters in 90 seconds, demonstrating how speed is derived from distance and time.
πŸ’‘Distance
Distance refers to the total length of the path traveled by an object. It is a scalar quantity that represents the interval between two points in space. In the video, distance is a key component in the speed-distance-time relationship, as seen when the teacher uses it to calculate the speed of a plane and the time a flying disc remains in the air.
πŸ’‘Time
Time is a measure of the duration between two points. It is a fundamental aspect in the study of motion, as it is used to quantify how long an event takes to occur. In the video, time is used in conjunction with distance and speed to solve problems, such as determining how long a flying disc was in the air during a competition.
πŸ’‘Calculator
A calculator is an electronic device used to perform arithmetic operations. In the context of the video, the calculator is mentioned as a tool that can be used to perform the mathematical calculations required to find speed, distance, or time when given the other two variables. It is a practical aid for solving the problems discussed in the video.
πŸ’‘Problem Solving
Problem solving involves finding solutions to questions or issues. In the video, the teacher guides viewers through the process of solving for speed, distance, and time in different scenarios. This involves applying mathematical formulas and logical reasoning to arrive at the correct answers, which is a core theme of the educational content.
πŸ’‘Plane
A plane, in the context of the video, refers to an aircraft. The script discusses a problem where a plane travels a certain distance in a given time, and the task is to find its speed. This real-world example illustrates the application of the speed-distance-time relationship in a practical scenario.
πŸ’‘Flying Disc
A flying disc, often referred to as a Frisbee, is a lightweight disc that is thrown and caught for play. In the video, an athlete throws a flying disc a certain distance, and the teacher uses this scenario to demonstrate how to calculate the time the disc remains in the air, using the average speed of the disc.
πŸ’‘Average Speed
Average speed is the total distance traveled divided by the total time taken. It provides a general indication of how fast an object has moved over a period. In the video, the teacher uses the concept of average speed to calculate the time a flying disc was in the air, given the distance it traveled and its average speed during flight.
πŸ’‘Licensure Examination
A licensure examination is a test required to obtain a license to practice a profession. In the video, the teacher mentions that the content is relevant for adults preparing for licensure examinations, indicating the practical application of the discussed concepts in professional contexts.
πŸ’‘Civil Service Examination
A civil service examination is a competitive exam used to recruit candidates for government positions. The video script mentions this type of examination as one of the contexts where understanding speed, distance, and time could be beneficial for test takers.
πŸ’‘Educational Content
Educational content refers to material that is designed to teach or inform. The video script is an example of educational content, as it aims to explain and clarify mathematical concepts related to motion, specifically speed, distance, and time, to help viewers understand and solve related problems.
Highlights

The video discusses the relationship between speed, distance, and time.

It is aimed at helping students and adults prepare for licensure and civil service examinations.

The formula for calculating distance within time is derived using a triangle analogy.

The first problem involves calculating the speed of a plane that travels 395,000 meters in 90 seconds.

The speed is found by dividing the distance by the time.

The plane's speed is determined to be 43.9 meters per second.

The second problem involves calculating the time a flying disc remains in the air after being thrown 139 meters at an average speed of 13 meters per second.

The time in the air is calculated using the formula time equals distance divided by speed.

The disc's time in the air is calculated to be 10.7 seconds.

The video provides a step-by-step guide to solving speed, distance, and time problems.

The importance of understanding the basic formulae for speed, distance, and time is emphasized.

The video is designed to be accessible to viewers of all ages, including students and professionals.

A shout out is given to students and adults who are encountering this topic in their studies or exams.

The video encourages viewers to visit previous content for a more comprehensive understanding.

The use of manual computation and calculators is demonstrated for solving the problems.

The video concludes with an encouragement for viewers to like, subscribe, and follow for more educational content.

Practical applications of the speed, distance, and time formulae are shown through real-world problems.

The video provides a clear explanation of how to apply the formulae to find missing variables in given scenarios.

The educational content is structured to build on previously discussed material for continuity.

Transcripts
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