Problema Solution
Chau 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 5 clients who did Plan A and 6 who did Plan B. On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Chau trained his Wednesday clients for a total of 12 hours and his Thursday clients for a total of 6 hours. How long does each of the workout plans last?
Answer provided by our tutors
let
a = the time length of workout Plan A
b = the time length of workout Plan B
On Wednesday there were 5 clients who did Plan A and 6 who did Plan B. Chau trained his Wednesday clients for a total of 12 hours.
5a + 6b = 12
On Thursday there were 3 clients who did Plan A and 2 who did Plan B.Chau trained his Thursday clients for a total of 6 hours.
3a + 2b = 6
by solving the system of equations
5a + 6b = 12
3a + 2b = 6
we find
a = 1.5 hr
b = 0.75 hr = 0.75*60 min = 45 min
click here to see the step by step solution of the system of equations
workout Plan A lasts 1,5 hours.
workout Plan B lasts 45 minutes.