Multiple choice

A can do $ \dfrac{1}{4} $ of a work in $5 $ days and B can do $ \dfrac{1}{3} $ of the same work in $10$ days . Find the number of days in which both working together will complete the work .

  1. $12$ days
  2. $20$ days
  3. $44$ days
  4. $18$ days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A does 1/4 work in 5 days, so A does 1 work in 20 days. B does 1/3 work in 10 days, so B does 1 work in 30 days. Combined rate = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12. They take 12 days.

AI explanation

A does 1/4 of the work in 5 days, so A's 1 day work is 1/20. B does 1/3 of the work in 10 days, so B's 1 day work is 1/30. (A+B)'s 1 day work is (1/20 + 1/30) = 5/60 = 1/12. Both working together will complete the work in 12 days.

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