Multiple choice

Passage

Directions: Read the following information and answer the given question. A, B, C and D are working in a team to complete a project in 5 days. A and B together can complete the work in 10 days, C alone can complete the work in 15 days and A and D together can complete the work in 20 days.

If only A has to complete the whole work, then in how many days will he complete the project?

  1. 50 days

  2. 60 days

  3. 30 days

  4. 40 days

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

Team (A+B+C+D) = 1/5. C = 1/15. A+B = 1/10. A+D = 1/20. (A+B) + (A+D) + C = 1/10 + 1/20 + 1/15 = (6+3+4)/60 = 13/60. This is A+B+C+D+A = 1/5 + A. 13/60 = 12/60 + A. A = 1/60. Time = 60 days.

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