Hans 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 wednesday there were 8 clients who did plan a and 4 who did plan b. on thursday there were 3 clients who did plan a and 2 who did plan b. hans trained his wednesday clients for a total of 17 hours and his thursday clients for a total of 7 hours. how long does each of the workout plans last?
length of plan a workout: hour(s)
length of plan b workout: hour(s)

the length of plan A workout is 1.5 hours.

the length of plan B workout is 1.25 hour.

Step-by-step explanation:

Let x represent the length of plan A workout.

Let y represent the length of plan B workout.

On Wednesday there were 8 clients who did Plan A and 4 who did Plan B. Hans trained his Wednesday clients for a total of 17 hours. This means that

8x + 4y = 17 - - - - - - - - - -1

On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Hans trained his Thursday clients for a total of 7 hours. This means that

3x + 2y = 7 - - - - - - - - - - - - - 2

Multiplying equation 1 by 3 and equation 2 by 8, it becomes

24x + 12y = 51

24x + 16y = 56

Subtracting, it becomes

4y = 5

y = 5/4 = 1.25 hours

Substituting y = 1.25 into equation 2, it becomes

3x + 2 × 1.25 = 7

3x + 2.5 = 7

3x = 7 - 2.5 = 4.5

x = 4.5/3 = 1.5

if x decreases by 4 then y increases by 10

step-by-step explanation:

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