Martina the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 8 clients who did Plan A and 4 who did Plan B. On Tuesday there were 3 clients who did Plan A and 2 who did Plan B. Martina trained her Monday clients for a total of 17 hours and her Tuesday clients for a total of 7 hours. How long does each of the workout plans last?

Step 1 ：Let's denote the duration of Plan A as a and the duration of Plan B as b. We know that the total duration of Monday's workouts is 8a + 4b = 17 hours and the total duration of Tuesday's workouts is 3a + 2b = 7 hours.

Step 2 ：We can set up a system of linear equations based on the information given: \(8a + 4b = 17\) and \(3a + 2b = 7\).

Step 3 ：Solving this system of equations gives us the values of a and b: a = 1.5, b = 1.25.

Step 4 ：The solution to the system of equations gives us the duration of each workout plan. Plan A lasts 1.5 hours and Plan B lasts 1.25 hours.

Step 5 ：Final Answer: The duration of Plan A is \(\boxed{1.5}\) hours and the duration of Plan B is \(\boxed{1.25}\) hours.