Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mrs. Thompson, the P.E. teacher, is pairing off students to race against each other. Julie can run 5 meters per second, and Latrell can run 7 meters per second. Mrs. Thompson decides to give Julie a head start of 34 meters since she runs more slowly. Once the students start running, Latrell will quickly catch up to Julie. How long will that take? How far will Latrell have to run? It will take seconds for Latrell to run meters and catch up to Julie.

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mrs. Thompson, the P.E. teacher, is pairing off students to race against each other. Julie can run 5 meters per second, and Latrell can run 7 meters per second. Mrs. Thompson decides to give Julie a head start of 34 meters since she runs more slowly. Once the students start running, Latrell will quickly catch up to Julie. How long will that take? How far will Latrell have to run? It will take seconds for Latrell to run meters and catch up to Julie.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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**Algebra 2: E.11 Solve a System of Equations Using Any Method: Word Problems**

**Problem:**

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mrs. Thompson, the P.E. teacher, is pairing off students to race against each other. Julie can run 5 meters per second, and Latrell can run 7 meters per second. Mrs. Thompson decides to give Julie a head start of 34 meters since she runs more slowly. Once the students start running, Latrell will quickly catch up to Julie. How long will that take? How far will Latrell have to run?

**Solution:**

Fill in the blanks after solving the equations.

It will take ____ seconds for Latrell to run ____ meters and catch up to Julie.

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