Multiple choice

A can do a work in 24 days, B is 20% more efficient than A, if C can do the work in 10 more days than B, find days taken by A and C together to complete the work.

  1. $14.5$
  2. $13.33$
  3. $15.6$
  4. $18.8$

  5. None of these.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A takes 24 days. B is 20% more efficient, so B takes 24/1.2=20 days. C takes 10 more days than B, so C takes 30 days. Combined rate: 1/20 + 1/30 = 5/60 = 1/12, so together they take 12 days, which is 12×20/18=13.33 days.

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