Answer:
9
Step-by-step explanation:
UT^2 = UV * UW
6^2 = (x - 7)(x - 7 + 5)
36 = (x - 7)(x - 2)
36 = x^2 - 2x - 7x + 14
x^2 - 9x - 22 = 0
(x - 11)(x + 2) = 0
x - 11 = 0 or x + 2 = 0
x = 11
UW = x - 7 + 5
UW = 11 - 7 + 5
UW = 9
1/4 + 1/3 + 1/6 = 3/12 + 4/12 + 2/12 = 9/12 reduces to 3/4...leaving 1/4 for worker z.
answer is : 1/4 hrs was allocated to worker z
