Person A can staple 100 magazines in 5 minutes and fold 100 letters in 10 minutes. Person B can staple 100 magazines in 10 minutes and fold 100 letters in 5 minutes. Person C can staple 100 magazines in 8 minutes and fold 100 letters in 6 minutes. If they work together, how long will it take for them to staple 100 magazines and fold 100 letters?

mags.py

total=100

def A(m,l):
    return 5*m + 10*l

def B(m,l):
    return 10*m + 5*l

def C(m,l):
    return 8*m + 6*l

best = 5*total

for p in range(0,total+1):
    for r in range(0,total+1-p):
        for q in range(0,total+1):
            for s in range(0,total+1-q):
                best = min(best, max(A(p,q), B(r,s), C(total-p-r,total-q-s)))

print(best/total) # 3.7