Bill 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 friday there were 4 clients who did Plan A and 8 who did Plan B. On saturday there were 2 clients who did Plan A and 3 who did Plan B. Bill trained his friday clients for a total of 9 hours and his saturday clients for a total of 4 hours. How long does each of the workout plans last?

The plan A lasts 1.25 hours and plan B lasts 0.5 hours.

Step-by-step explanation:

Let the plan A takes x hours for training and plan B takes y hours for training.

So, from the conditions given we can write two different equations as

4x + 8y = 9 (1) and

2x + 3y = 4 (2)

Now. solving equations (1) and (2) we get,

8y - 6y = 9 - 8

⇒ 2y = 1

⇒ y = 0.5 hours.

Now, from equation (2) we get,

2x = 4 - 3 × 0.5 = 2.5

⇒ x = 1.25 hours.

Therefore, plan A lasts 1.25 hours and plan B lasts 0.5 hours. (Answer)