1. Lesson 5

1.7. Explore 3

Mathematics 20-1 Module 6

Module 6: Rational Expressions

 

Flyer Scramble

 

This is a photo of a woman inserting a flyer through a mail slot.

© arvydas666/6006762/Fotolia

Another event at Super Race Day is the Flyer Scramble. Flyers are a great way to let people know about community events, new businesses, and missing pets.

 

In this event team members must deliver flyers to 73 homes. Flyers must be placed inside mailboxes and runners must only use walkways. Each team member completes the challenge and is timed. The results are used to calculate the time it would take to complete the route by both team members working simultaneously.

 

Each team member then runs through the route to attempt to beat the calculated time. The winning team is the team with the fastest actual recorded or calculated time.

Try This 3

 

Mitchel and Tia are members of a team participating in the Flyer Scramble event. Mitchel can deliver the flyers in 40 min. Tia covers the same route in 50 min. Answer the following questions to determine how long it would take Mitchel and Tia to deliver the flyers if they work together.

  1. What fraction of the flyers could Mitchel deliver in 20 min, 10 min, and 1 min?

  2. What fraction of the flyers could Mitchel deliver in t min? How did you determine this?

  3. Complete the following table. The first row has been done for you. Compare your answers to questions 1 and 2 to the expressions in the first row of the table.

      Time to Deliver Flyers Fraction of Work Done in 1 min Fraction of Work Done in t min
    Mitchel Alone 40
    Tia Alone 50    
    Mitchel and Tia Together t    

course folder Save your work in your course folder.

 

Share 1
  1. Compare your answers to Try This 3 with a classmate. Discuss the reasoning behind each expression in the table.

  2. Use the expressions in the last column of the table to construct an equation that could be used to determine the number of minutes it would take for Mitchel and Tia to deliver the flyers together.

  3. Solve the equation to determine the time that Mitchel and Tia would have to beat in order to improve their score.

course folder Save your work in your course folder.


textbook

Turn to page 345 of the textbook. Compare your results from Try This 3 and Share 1 to the solution shown for “Example 3.” You will notice that the problem presented in this example uses the same numbers as the exercises you just completed in this lesson. As you read through the example, be sure to do the following:

  • compare the information in the tables

  • compare the equations that are used to solve the problem

  • study how the solution is verified
Self-Check 2


textbook

Complete question 17 on page 350 and questions 12 and 13 on page 349 of the textbook. Answer