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 hours
As 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 = 10
3x + y = 5
y = 5 - 3x ----------(2)
Replace the value of y in equation 2 from equation 1.
3x + 5(5 - 3x) = 10
3x + 25 - 15x = 10
25 - 12x = 10
12x = 25 - 10
12x = 15
x =
x = 1.25 hours
From equation 1
y = 5 - 3×1.25
y = 5 - 3.75
y = 1.25 hours
Therefore, plan A and plan B both lasts for 1.25 hours.