Problema Solution
The number of hours h that it takes m men to assemble x machines varies directly as the number of machines and inversely as the number of men. If four men can assemble 12 machines in four hours, how many men are needed to assemble 36 machines in 8 hours?
Answer provided by our tutors
The number of hours h that it takes m men to assemble x machines varies directly as the number of machines and inversely as the number of men:
h = k(x/m), where k is constant
four men can assemble 12 machines in four hours:
4 = k(12/4)
by solving we find:
k = 4/3
click here to see the step by step solution of the equation:
h = (4/3)(x/m)
for x = 36 machines and h = 8 hours we solve:
8 = (4/3)(36/m)
to find:
m = 6 men
click here to see the step by step solution of the equation:
6 men are needed to assemble 36 machines in 8 hours.