Elaine is planning a triathlon in her city. The triathlon will consist of three distinct sections, as described below. Section 1: A swim across a part of Sunset LakeSection 2: A bicycle ride through the new city parkSection 3: A run through downtown that ends at City HallThe mayor of the city asks Elaine to follow these criteria: 1. Have a course that the elite athletes should be able to finish in 2 hours.2. Have the swimming portion of the triathlon be one fifth the distance of the run.3. Have the entire triathlon cover a distance of 28 miles. Elaine does some research on top triathlon finish times. She finds that, on average, the elite athletes are able to swim about 4 mi/h, bicycle about 20 mi/h, and run about 10 mi/h. Elaine needs to determine a triathlon course based on these rates.1. What is the formula that relates rate, time, and distance in terms of time?2. Choose a variable to represent each of the lengths(distance) of the swimming section, the cycling section, and the running section. a. Variable for swimming length:b. Variable for bicycling length:c. Variable for running length:3. Use your equation from #1 and the rates from the information above to write each length in terms of time.(Hint: If I let s = variable for swimming length and t = d/r and the given swimming rate is 4 mi/h, then part a. would be t = s/4):a. Equation for swimming: b. Equation for bicycling: c. Equations for running: 4. Write the equation for the total time for the triathlon. (Hint: Add up the time ratios in part 3a, 3b, and 3c and set equal to the total time elite athletes should finish.)5. Write an equation for the relationship between the distance of the swimming portion and running portion. (Look at back at the criteria #2 in the given information)6. Write an equation for the total distance the triathlon will cover (Hint: use the variables you choose for distance(length) in #2. Add them up and set them equal to the total distance for the triathlon)7. Set up and *solve a system of 3 equations and 3 variables using your equation from #4, #5 and #6. (Note: You will have to work with fractions or decimals)*Solving for each variable in #7 completed your task! Now answer the following: What is Distance for swimming section:What is Distance for bicycling section:What is Distance for running section: