Chapter 3 Section 6 part 2 – Distance, Rate, Time Problems Word Problems…YAY!! An object that moves at a constant rate is said to be in ______________________ The formula __________________ gives the relationship between ____________ (d), ____________(r), and ______________(t) A train leaves a train station at 1 P.M. It travels at an average rate of 72 mi/h. A high-speed train leaves the same station an hour later. It travels at an average rate of 90 mi/h. The second train follows the same route as the first train on a track parallel to the first. In how many hours will the second train catch up with the first train? STEP 1: Read the problem STEP 2: Read the problem with a purpose Read one sentence at a time and analyze what it means to the problem. 1. 2. 3. 4. 5. 6. What type of problem is this? What formula will you need to use? What are we trying to find out? What will your variable be? STEP 3: Relate the information that you know You can use a table to relate all of the information that you know from the problem: Train 1 2 Rate Time Distance Traveled If we’re trying to find out when the trains catch up to each other, what does that mean about their distances. STEP 4: Rate the equation and solve STEP 5: Remember what the equation was asking! What is the answer to the problem A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h. a. How long after the canoe left the campsite did the motorboat catch up with it? b. How long did the motorboat travel?