Problem
Let \( \boldsymbol{x} \) be the time during the first part of the trip and \( \boldsymbol{y} \) be the time during the second part of the trip. Samantha traveled averaged \( 52 \mathrm{mph} \) for the first part of her trip and then \( 64 \mathrm{mph} \) for the second part of her trip. She traveled 286.4 miles in 5 hours. Which two equations can be used to find each?
Solution
Step 1 ：\( x + y = 5 \)
Step 2 ：\( 52x + 64y = 286.4 \)
