Final answer:
Marie takes about 12.6 weeks to assemble a Supra by herself, according to the given information.
Step-by-step explanation:
Let's say that Marie takes x number of weeks to assemble one Supra by herself. We know that Ray takes 17 weeks to assemble a Supra. Together, Marie and Ray can assemble an entire Supra in 7 weeks. So in one week, Marie and Ray can complete 1/7 of the work together, meaning that Marie contributes 1/x of the work in one week and Ray contributes 1/17 of the work in one week.
According to the given information, we can set up the equation: 1/x + 1/17 = 1/7.
To solve this equation, we can multiply through by the least common denominator, which is 17x:
17 + x = 7x
Subtracting x from both sides gives us: 17 = 6x.
Dividing both sides by 6, we find that x = 17/6 = 2.83.
Therefore, it takes Marie approximately 2.83 weeks, or about 12.6 weeks, to assemble one Supra by herself.