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Speed, Distance and Time for Grade 6 Learners
- 1. Directions: Answer thefollowing questions by solving what is asked in each item. Questions Answer 1. How many meters are there in 2 kilometers? 2000 meters 2. If there are 60 seconds in 1 minute, how many seconds are there in 36 minutes? 2160 seconds 3. How many centimeters are there in 85 meters? 8500 cm 4. In 1 foot, there are 12 inches. How many inches are there in 10 ½ feet? 126 inches
- 2. Let us studythis picture.
- 3. Let us readthis problem. Jonathan bought a new car. He drove his car from Manila to Baguio City at an average speed of 65 kilometers per hour. For a total of 4.5 hours, how far did he travel?
- 8. Speed is ascalar quantity that refers to “how fast an object is moving”. Speed can be thought of as the rate by which an object covers distance. Distance is the total length between two positions. Time is the quantity measured or measurable period during which an action process, or condition exists or continues.
- 9. The following isthe list of units and their abbreviations commonly used for speed.
- 10. A world-record holderran 800 meters in 86 seconds. What was his speed rounded to the nearest tenths? Answer: The speed of the world record holder was 9.3 m/s
- 11. A bus travelsat a speed of 45 km/hour. How far will it travel in 36 minutes? Answer: The distance travelled is 27 kilometer.
- 12. How long willyou cover a distance of 300 km at a speed of 60 km per hour? Answer: Therefore, time needed to cover 300 km is 5 hours.
- 14. Identify the distance,time, and speed then solve what is unknown. 1 .
- 15. Identify the distance,time, and speed then solve what is unknown. 2 .
- 16. Identify the distance,time, and speed then solve what is unknown. 3 .
- 17. Identify the distance,time, and speed then solve what is unknown. 1 .
- 18. Identify the distance,time, and speed then solve what is unknown. 2 .
- 19. Identify the distance,time, and speed then solve what is unknown. 3 .
- 20. Assignment Read, solve andanalyze the problem.
Editor's Notes
- #3 Do you have a dream car? What kind of car is it? In order to have your own car someday, what are you going to do?
- #4 a. What is asked in the problem? b. What are the given data? c. What equation will be formed?
- #5 In order to solve and analyze the problem, we will use the Polya’s Method.
- #8 The problem is an example of calculating the distance. The relationship between speed, distance and time can be expressed in the following equations: Say after the triangle - In everyday life, we usually refer to speed in kilometers per hour (km/h), whereas in a race we use meter per second.
- #9 The equation for speed can be remembered from the unit itself: in m/s - m is meter (distance), s is seconds (time). It can, of course, be rearranged to give: Time= distance over speed
- #11 Let’s read and analyze another problem on finding the speed. Solution: Given: distance= 800 meters time= 86 seconds Using the formula in finding the speed we have: speed= distance divided by time. So, let us substitute the value of distance and time we have distance 800m and time is 86 seconds
- #12 Let’s have an example on finding the distance. Solution: Given: speed= 45 km/hr time= 36 minutes =36/60 Hour (Since we know, 1 hour = 60 minutes) = 3/5 hour Using the formula in finding the distance we have: distance = time times speed
- #13 May we have another example on finding time. Solution: Given: distance = 300 km speed = 60 km/h