Raul can put up a fence 15 hours faster than his sister Nina can. If they work together, they can complete the job in 4 hours.
Part A: Write and equation that represents the situation above. (If you cannot come up with an equation, use fraction one over quantity x plus ten plus fraction one over x equals fraction one over twelveto solve on Part B. You will lose 3 points for not writing the correct equation from the problem. Assume the value for Nina is x in Part C.)
Part B: Solve the equation for the variable. Be sure to show all steps in solving to receive full credit. (Hint: You will need to find a common denominator!)
Part C: Determine how much time it would take Raul to complete the job on his own. Be sure to show your work!
(10 points)