From the meaning of the question, x(x-5)=6(x+x-5),
The solution is x 1= 15, x2=2 (irrelevant, omitted).
Then x-5= 10.
A: It takes 65,438+05 months for Team A to complete this project alone, and 65,438+00 months for Team B to complete this project alone;
(2) If Team A sets to work for y months, Team B will work for 1/2y months.
Judging from the meaning of the question,100y+(100+50) y/2 ≤1500,
For solving inequalities, y≤8.57,
The construction time is in months,
∴y≤8,
Answer: It will take Team A eight months at most to complete this project, so that the project cost will not exceed150,000 yuan.