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In the 2004 Olympics, Shawn Crawford won the 200 meter dash with an impressive time of 19.79 seconds. This article examines how to calculate his average speed in meters per second. To find the speed, we represent his speed as 'r' and use the formula: 200 = r × 19.79. Solving this equation reveals that Crawford's average speed was approximately 10.1 meters per second. Additionally, if he maintained this speed, it would take him roughly 9.9 seconds to complete a 100-meter run.
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OLYMPICS In the 2004 Olympics, Shawn Crawford won the 200 meter dash. His winning time was 19.79 seconds. Find his average speed to the nearest tenth of a meter per second. SOLUTION Let r represent Crawford's speed in meters per second. Write a verbal model. Then write and solve an equation. EXAMPLE 6 Write and solve an equation
200 = r 19.79 200 19.79 = r 19.79 19.79 r 10.1 ANSWER Crawford's average speed was about 10.1 meters per second. EXAMPLE 6 Write and solve an equation
WHAT IF? In example 6, suppose Shawn Crawford ran 100 meters at the same average speed he ran the 200 meters. How long would it take him to run 100 meters? Round your answer to nearest tenth of a second. 17. ANSWER 9.9 sec for Example 6 GUIDED PRACTICE