Distance and Work Word Problems Advanced Math Topics Mrs. Mongold.

Slides:



Advertisements
Similar presentations
You WANT me to make a paper airplane??? A lesson in calculating the speed of an object.
Advertisements

Distance-Rate-Time Applications Example 1: Amy rides her bike to work in 30 minutes. On the way home she catches a ride with a friend and arrives home.
10.7 Solving Rational Equations in Word Problems
Work problems Mr. Dodson can paint his house by himself in 4 days. His son needs two additional days to complete the job if he works by himself. Find how.
Chapter 7 Section 7 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Introduction to Distance-Rate-Time The following is designed to help you understand the basics of one of the popular application problems in introductory.
Word Problems.
Work problems #22: An experienced bricklayer constructs a small wall in 3 hours. The apprentice (you) completes the job in 6 hours. Find how long it takes.
Real World Problems MA.912.A.5.7 Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).
Using Rational Equations
6.7 Applications of Rational Expressions. Objective 1 Solve problems about numbers. Slide
Warm-Up A child’s ticket costs $6 for admission into the movie theater. Adult tickets cost $15. How many of each did a family get if they spent $63 for.
Wind and Current Word Problems
Algebra 7.3 Solving Linear Systems by Linear Combinations.
Solving Systems of Equations
4.3 Application problems dealing with systems of linear equations.
Proportions and Problem Solving with Rational Equations
Chapter 7 Section 7.
Problem Solving The quotient of a number and 2 minus 1/3 is the quotient of a number and 6. Find the number. LCD = – Rational Expressions.
Any questions on the Section 6.5 homework?. Section 6.6 Rational Expressions and Problem Solving.
Test 3 Review Session Monday night at 6:30 in this room Attendance at this optional review session is highly encouraged due to the difficulty many students.
5.6 Applications of rational expressions VnOlvFqmWEY.
Applications for Systems of Equations Algebra I. Example #1  Flying to Ankara with a tailwind a plane averaged 368 mph. On the return trip the plane.
Example ANSWER x(x+1). Example Example ANSWER 1.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 12 Rational Expressions.
Chapter 6 Section 7 Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Applications of Rational Expressions Solve story problems about.
Constants of proportionality. Will the teacher get a speeding ticket? Ms. Westbrook traveled from Denton to Tyler, Texas in 1 hour. Distance = ____inches.
Precal D Section 1.4 Sample Problems. Example 1 - Investments A total of $12,000 is invested in a savings and a checking account. The savings account.
Applications of Linear Equations A distance question: – Steve travels 80 miles in the same time it takes Mary to travel 180 miles. Mary travels at a rate.
Chapter 1 – Connections to Algebra 1.5 – A Problem Solving Plan Using Models.
Problem Solving with Systems of Equations in Two and Three Variables Advanced Math Topics Mrs. Mongold.
Dividing Polynomials Day #2 Advanced Math Topics Mrs. Mongold.
MTH095 Intermediate Algebra Chapter 7 – Rational Expressions Sections 7.6 – Applications and Variations  Motion (rate – time – distance)  Shared Work.
Advanced Math Topics Mrs. Mongold.  Def: a ratio of two polynomial expressions.
Direct Variation 2.4. Big idea… 5280ft=1mile. There will always be the same number of feet in a mile, so they are “directly proportional”
Warm–up #4 1. Suppose 42 nickels, dimes, & quarters are worth $4.80 & there are twice as many quarters as dimes. How many of each are there? Amount$/eaTotal.
Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.
8.3 Solving Equations by Using Quadratic Methods.
Motion Problems(wind/water) Review Homework 191 # # # 46.
Review Quiz. Pages mph Practice Problems 1.Carrie can row a boat at a rate of 5 miles per hour in calm water. How long will it take her to.
D = r . t r = Solve for rate Motion Word Problems - continued
10.7 Solving Rational Equations in Word Problems
PLICKERS! Calculate Speed. The fastest recorded speed of a hydroplane boat was 469 miles in 7 hours. what was its record breaking speed? A. 90 mph B.
Distance = Rate x Time DRT Formula. D = r x t It takes Mrs. Osthus 105 minutes to get to Sioux Falls to go Christmas shopping. If she drives an average.
 Chapter 8 – Rational Expressions and Equations 8.6 – Solving Rational Equations and Inequalities.
Solving Real World Linear Systems of Equations with Two Variables Objective: Review writing and solving linear systems of equations with two variables.
Applications of Linear Systems Objective: To choose the best method for solving a system of linear equations.
Solving Application Problems Using System of Equations Section 4.3.
Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.
Distance,Rate, and Time. Think! What information would you need to know to find out how long it takes to get to your friend’s house?
Lesson 4.3: Using Recursive Formulas
Applications.
Investigating Motion Science Chapter B2 Text Pages B43-B73.
Summary of Methods Substitution: Requires that one of the variables be isolated on one side of the equation. It is especially convenient when one of the.
Solving Rational Equations and Inequalities
Systems of Linear Equations in Two Variables
M3U5D5 Warmup Simplify the expression.
11.3 Solving Linear Systems by Adding or Subtracting
30 miles in 1 hour 30 mph 30 miles per hour
Unit 4 Lesson 1: Completing the square
Solving Equations Containing
Rational Equations and Problem Solving
Solving Rational Equations by
Advanced Math Topics Mrs. Mongold
Solving Rational Equations
5-A9 Wind and Current Word Problems
Solving Rational Equations by
Applications Involving Quadratic Equations
SAT PREP UPSTREAM / DOWNSTREAM & MOTION Rita Korsunsky.
Warm Up.
Presentation transcript:

Distance and Work Word Problems Advanced Math Topics Mrs. Mongold

Work Problems

This is not just limited to two people or things working together you can have more than 2!!!!

Example Melissa can clean the house in 4 hours, whereas her husband, Zack, can do the same job in 5 hours. They have agreed to clean together so they can finish in time to watch a movie on TV that starts in 2 hours. How long will it take them to clean the house together? Will they finish in time to watch the move from the beginning?

Distance Problems Remember that D=RT

Distance Problems Remember that D=RT D= Distance

Distance Problems Remember that D=RT D= Distance R= Rate

Distance Problems Remember that D=RT D= Distance R= Rate T= Time

Distance Problems Remember that D=RT D= Distance R= Rate T= Time Object NameRateTimeDistance Object 1 Object 2 Make a chart for these problems

Example Steve takes 1 ½ times as long to go 72 miles upstream in his boat as he does to return. If the boat cruises at 30 mph in still water, what is the speed of the current?

Homework Page 419/ 27-34