Multiple choice

Amitabh and Vladimir together can do a piece of work in 15 days. The same work can be done by Vladimir and Chisti together in 18 days. Amitabh and Vladimir together start the job. Amitabh and Vladimir leave the job after working on it for 5 days and 7 days, respectively. Chisti starts working on the day following Amitabh's departure. Chisti works for a total of 16 days, and finishes the work alone after Vladimir also leaves. In how many days could each do the work by himself?

  1. Amitabh, Vladimir, Chisti - 22 1 5 , 63 and 13 11 16 days

  2. Amitabh, Vladimir, Chisti - 23 1 5 , 53 and 19 7 16 days

  3. Amitabh, Vladimir, Chisti - 25 2 5 , 43 and 11 11 13 days

  4. Amitabh, Vladimir, Chisti - 19 11 16 , 63 and 25 1 5 days

  5. Amitabh, Vladimir, Chisti - 19 7 16 , 63 and 27 1 5 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the combined work rates, A + V = 1/15 and V + C = 1/18. The work completed is 5(A + V) + 2V + 14C = 1, since Chisti works alongside Vladimir for two days and alone for fourteen days, giving the individual times shown in option D.

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