1. MT 8.3: Working with Rate, Time, and Distance The formula that has to be remembered for this section is… R ● T = D (Rate x Time = Distance) There are four possible scenarios that can come up in your word problems, and you must choose which scenario fits each problem. These scenarios are… Two cars going the same Direction Two cars going in opposite Directions One car leaving and coming back Two cars coming together from different places

2. MT 8.3: Working with Rate, Time, and Distance There are only two formulas to remember… rt = rt rt + rt = d If they use the word “opposite”, use this formula.

3. MT 8.3: Working with Rate, Time, and Distance Example 1: The Race (both travelling same direction) John leaves his home and travels west at 10 mph Jerry leaves his home 3 hours later and travels west at 20 mph. How long before Jerry catches John. R ● T = R ● T Choose the correct pattern and formula… (John) (Jerry) Circle you terms… 10 When Jerry leaves 3 hours later, John has a 3 hour head start. That is written (t+3) for John, not Jerry! (t+3) =20t Need to find “t” for Jerry. Now solve… 10t+30 = 20t 30 = 10t t=3

4. MT 8.3: Working with Rate, Time, and Distance Example 2: Opposite Directions Mary drove north from Visalia towards Sacramento travelling at 65 mph. Sara drove in the opposite direction travelling at 75 mph. How long were they driving when they were 420 miles apart? R ● T + R ● T = D Choose the correct pattern and formula… (Mary) (Sara) Circle you terms… 65+ 75 = 420 Need to find “t” for both. Now solve… t t 140t = 420 t = 3

5. MT 8.3: Working with Rate, Time, and Distance Please notice this is a step by step process. If you rush or pick the wrong formula, you will get the wrong answer. These are problems that work in real life and you are being asked to solve them. Hints: 3 hour head start is (t + 3) 10 mph faster is (r + 10) If you find yourself trying to solve for two different variables, then you have to figure out one of the variables before you can solve. You cannot solve for two variables with only one equation. They usually leave hints and it is usually time (t) that you will solve for. There are more practice problems on the MT8 Test Notes from the website.