Deshaun the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Deshaun trained his Monday clients for a total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?

Answer:Plan A and plan B both lasts for 1.25 hours.Step-by-step explanation:Trainer has two solo workout plans Plan A and Plan B.Let the trainer trains for plan A = x hours and for plan B = y hoursAs per statement given in the question,"Dueshan trained his Monday clients for a total of 10 hours"Equation will be, 3x + 5y = 10 --------(1) And other statement says,"Dueshan trained his Tuesday clients for a total of 10 hours"6x + 2y = 103x + y = 5 y = 5 - 3x ----------(2)Replace the value of y in equation 2 from equation 1.3x + 5(5 - 3x) = 103x + 25 - 15x = 1025 - 12x = 1012x = 25 - 1012x = 15x = [tex]\frac{15}{12}[/tex] x = 1.25 hoursFrom equation 1y = 5 - 3×1.25y = 5 - 3.75y = 1.25 hoursTherefore, plan A and plan B both lasts for 1.25 hours.