DATE NAME Problem Solving with Equations (continued) Problem 2 At 1:00 P.M. two planes leave Rome to fly to Paris. One flies 46 mph faster than the other. lands at 2:30 P.M. and the other, ten minutes later. Find the distance between Rome and Par a. What does the problem ask you to find? b. Recall the distance formula, distance = rate X time. Of these three quantities, which do you know? c. Circle the number below that indicates the best way to start the solution of the problem. 1. Let 1 = flying time in hours of faster plane. 2. Let s = speed in mph of slower plane. 3. Let d = distance in miles between Rome and Paris. d. Use your choice in part (c) to complete this chart. (Hint: Use fractions to express the time in hours.) Rate (mph) Time (hours) Distance (miles) Slower plane Faster plane e. What must be true about the distances that the planes flew? f. Write an equation for the problem. g. Solve the equation and find a numerical value for each plane's speed. Slower plane Faster plane h. Notice that your answers in part (g) do not solve the problem, but they enable you to do so and to cl work. Write your answer for the problem. i. Check your results by computing and comparing the distance traveled by each plane. Slower plane Faster plane