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EXAMPLE 1

High-speed Train. The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What is the average speed?. Rate (miles/hour). =. Time (hours). Distance (miles). =. r. 6.5. 457. EXAMPLE 1. Use a formula. SOLUTION.

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EXAMPLE 1

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  1. High-speed Train The Acela train travels between Boston and Washington, a distance of 457miles. The trip takes 6.5 hours. What is the average speed? Rate (miles/hour) = Time (hours) Distance (miles) = r 6.5 457 EXAMPLE 1 Use a formula SOLUTION You can use the formula for distance traveled as a verbal model.

  2. 70.3 r ANSWER The average speed of the train is about 70.3miles per hour. 70.3miles 457 miles 6.5hours 1hour EXAMPLE 1 Use a formula An equation for this situation is 457 = 6.5r. Solve for r. 457 = 6.5r Write equation. Divide each side by 6.5. CHECK You can use unit analysis to check your answer.

  3. Rate (miles/hour) Distance (miles) Time (hours) = t 6760 = 540 for Example 1 GUIDED PRACTICE AVIATION: A jet flies at an average speed of 540miles per hour. How long will it take to fly from New York to Tokyo, a distance of 6760miles? 1. SOLUTION You can use the formula for distance traveled as a verbal model.

  4. 12.5 t ANSWER Jet takes about 12.5hours to fly from New York to Tokyo. for Example 1 GUIDED PRACTICE An equation for this situation is 6760 = 540t. Solve for t. 6760 = 540t Write equation. Divide each side by 540.

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