Ask Question
11 November, 14:26

A roofer requires 15 hours to shingle a roof, while an apprentice requires 21 hours. Write

an equation that can be used to find the time in hours, t, it would take to shingle the roof if

both worked together. Solve the equation.

+2
Answers (1)
  1. 11 November, 16:54
    0
    The equation in terms of "t"

    1/t = ¹/₂₁ + ¹/₁₅

    On solving the equation "t" = 8 ³/₄ days

    Step-by-step explanation:

    Time taken by roofer to shingle a roof - 15 hours

    Time taken by apprentice-21 hours

    Time required to shingle if both worked together - "t" hours

    If roofer shingles the roof in 15 hours

    Part of the roof he would shingle in 1 hours = ¹/₁₅

    Similarly, part of the roof shingled by apprentice in 1 hour - ¹/₂₁

    Part of the roof shingles when they worked together for 1 hours - 1/t = ¹/₂₁ + ¹/₁₅

    Total time taken = 1/t = ¹/₂₁ + ¹/₁₅

    1/t = ⁽²¹⁺¹⁵⁾ / ₃₁₅

    t = 315/36 = 8 ³/₄ days
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A roofer requires 15 hours to shingle a roof, while an apprentice requires 21 hours. Write an equation that can be used to find the time in ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers