Thomas takes 7 days to paint a house completely whereas Raj would require 9…

2026

Thomas takes 7 days to paint a house completely whereas Raj would require 9 days to paint the same house completely. How many days will take to paint the house if both them work together.(give answers to the nearest integer)

  1. A.

    4

  2. B.

    5

  3. C.

    0

  4. D.

    9

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Show answer & explanation

Correct answer: A

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Solution:

  1. Thomas's work rate = 1/7 house per day.

  2. Raj's work rate = 1/9 house per day.

  3. Combined rate = 1/7 + 1/9 = (9 + 7) / 63 = 16/63 house per day.

  4. Time to complete the house = reciprocal of combined rate = 63/16 = 3.9375 days.

  5. Rounding to the nearest integer gives 4 days. Therefore the correct answer is 4.

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