1. Train A, traveling 70 miles per hour (mph), leaves Westford heading toward Eastford, 300 miles away. At the same time Train B, traveling 60 mph, leaves Eastford heading toward Westford. When do the two trains meet? WESTFORD EASTFORD 70 mph 60 mph2. In the scenario below, each runner is traveling at a constant speed. Derive an expression to figure out how much time, t, it will take the runners to meet. V1 Scenario B d3. Two runners run a race at different constant speeds. The length of the race is d. Runner A runs with speed vA, and runner B runs with speed ve. VA is greater than ve. Both runners start the race at the same time. Express your answer in terms of the symbols given in the scenario above. Show your work, including any fundamental equations that you use to figure this out. i. Write an expression that shows how much time it takes for runner A to complete the race. ii. Write an expression to show how far behind runner B is at the moment that runner A finishes the race.4. Two cars travel in opposite directions. Both cars start at time zero at rest and accelerate at different, constant rates. Car A starts from rest and speeds up with an acceleration a, while traveling toward the right. Car B starts from rest and speeds up with an acceleration a, while traveling toward the left. The front of car B starts at a distance d to the right of car A. a= da a= a, A V =0 V=0 B a) Derive an expression for the time, t, at which the fronts of the cars reach the same position. Express your answer in terms of the variables that are given in this problem. b) Derive an expression for the distance that Car A travels before the cars meet. Call this distance d. Express your answer in terms of the variables that are given in this problem.Meeting Points - Practice Problems Directions: Solve the following word problems. For each problem, include: The "general form" of any equations that you use . An application of these "general" equations to this specific scenario (using variables given in the problem) All algebraic steps that lead to your final answer . Your final