Medal to best help that allows me to find the answer. Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her own.
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how do I set my equation up to solve this?
This is my last question, then I'll be done for the day. I just need help on this one!
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Jennifer can paint the room in x hours.
Carl can paint the room in x - 3 hours.
In 1 hour, Jennifer does 1/x of the job.
In 1 hour, Carl does 1/(x - 3) of the job.
If they work together for 1 hour, they do
1/x + 1/(x - 3) of the job.
Together, they take 2 hours to complete the job.
That means in 1 hour, they do 1/2 of the job.
That means that
1/x + 1/(x - 3) = 1/2
Solve for x to find how many hours Jennifer needs. Then subtract 3 hours to find Carl's hours.
how do I solve for x? @mathstudent55
how do i solve for x?
i keep getting 4
x = 1 is a bad solution in this case because both of them would do the job in 2 hours and it's illogical that Jennifer would be able to do it alone in 1 hour.
So the answer is 6. It would take 6 hours for Jennifer and 3 hours for Carl.
what did you write under x^2 - 7x + 6?
D = 5^2
it's a districiminant
you use it for solving quadratic equations