Use the SOLVEM Method to set up and solve the following problem.
The distance between Paris and Berlin train stations is 1056 km. Each morning at 7:00 AM, there is a train "Par" with the speed of v₁ departing from Paris, at the same time, another train "Ber" is heading to Paris from Berlin at the same speed. The two trains will meet at point "A" at 13:00 PM. Note: Assume that the same time zone is used for Paris and Berlin.
(a) What is the distance from point "A" to Paris station? What is the speed v₁?
(b) From May 1, 2023, "Par" will increase the speed by 10 km/h, while "Ber" will
decrease the speed by 18 km/h. Then, at 13:00 PM, will the two trains meet? If not,
what is the distance between these two trains? What time will they meet?
Hint: use SOLVEM to solve part (b) You can list and solve the equations for part (a) directly.