Ask Question
27 January, 11:19

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 12 h to paint a house alone. How long does it take Karen to paint a house working alone

+2
Answers (1)
  1. 27 January, 12:48
    0
    6 hours

    Explanation:

    Let k = time it takes Karen to paint the house alone

    then according to the question,

    (2/3) (k) (1/k + 1/12) = 1

    ⇒ (2k/3) (1/k + 1/12) = 1

    ⇒ (2k) (1/k + 1/12) = 3

    ⇒ (2 + k/6) = 3

    Multiplying both sides by 6:

    12 + k = 18

    k = 6 hours

    therefore Karen takes 6 hours to complete the Task.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the ...” in 📘 Business if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers