You can complete one-half of a job in an hour. Your friend can complete one-third of the same job in an hour. How long will it take to complete the job if you work together? Write your answer as a decimal.The job will take hour(s).

Answer:1.2 hoursStep-by-step explanation:First note, rate and time are inverses of each other.We need to find unit rate of each.one-half job in 1 hour means1 job in 1 * 2 = 2 hoursalsoone-third job in 1 hour means1 job in 1 * 3 = 3 hoursThe rates are inverses, so we can say:Rate 1 = 1/2Rate 2 = 1/3Working together, the rate would be:1/2 + 1/3 = 5/6The time it will take would be inverse of this, that would be:[tex](\frac{5}{6})^{-1}\\=\frac{6}{5}\\=1.2[/tex]Working together, it will take 1.2 hours