15) Noah and Owen paint houses together. If Noah can paint a particular house in 6 days and Owencan paint the same house in 5 days. How long will it take them to paint the house together?a) Define the variable.b) Create a rational equation.c) Solve the rational equation for how long in days it will take them to paint the house together,
Accepted Solution
A:
Answer:1/6 + 1/5 = 1/x, 3 daysStep-by-step explanation:a) x days will take to paint the house together.b) 1/6 part of the house, Noah paints for 1 day.1/5 part of the house, Owen paints for 1 day1/x part of the house they paint for 1 day together, and also we can write that(1/6 + 1/5) part of the house they paint for 1 day together.So, we can write equation1/6 + 1/5 = 1/xc) 1/6 + 1/5 = 1/x30x*1/6 + 30x*1/5 = 30x*1/x5x + 6x = 3011x = 30x = 30/11 ≈2.72 ≈ 3 days