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  1. We can solve problems involving time by remembering the formula for speed, distance and time. E.g. Calculate the time if a car travels at 15 miles at a speed of 36 mph.

  2. Speed, Distance, Time Worksheet. Use * m/s, km/h, or mph. Calculate Speed R̅= P 1. A car travels a distance of 540km in 6 hours. Calculate the speed of the car. 2. John is a runner. He runs the 100m sprint in 20.0 s. Calculate the John’s speed. 3. Lauren walks 400 m in 125 s . Calculate Lauren’s average speed. 4.

  3. An application of linear equations can be found in distance problems. When solving distance problems we will use the relationship rt = d or rate (speed) times time equals distance. For example, if a person were to travel 30 mph for 4 hours. To find the total distance we would multiply rate times time or (30)(4) = 120.

  4. 8.8 Rate Word Problems: Speed, Distance and Time. Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance. r⋅t = d r t = d.

  5. = speed at any instant in time. Average speed. = distance travelled. time taken. If a car travels 100 miles in 2 hours, g the journey between 0 mph and, pe. haps, 70 mph. The s. instantaneous speed. The following table lists units in common use for speed and their abbreviations: Example 1.

  6. You can now solve these types of problems with your knowledge of systems of equations. One of the most effective ways to do so is to first build a chart. Example 1. A train leaves a station at 9:00 AM and travels with a constant speed of 90 km/h.

  7. Use the problem-solving method to solve problems using the distance, rate, and time formula. One formula you’ll use often in algebra and in everyday life is the formula for distance traveled by an object moving at a constant speed. The basic idea is probably already familiar to you.