Multiple choice

Arun can complete a work in 10 days, Rahul can complete the same work in 20 days and Deepak in 40 days. Arun starts working on the first day, Rahul works for the second day and Deepak works for the third day. Again Arun works for fourth day and Rahul for fifth day and so on. If they continued working in the same way, in how many days will the work be completed?

  1. 15 days

  2. 16.5 days

  3. 15.5 days

  4. 17 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work pattern repeats every 3 days: Day1(Arun)=1/10, Day2(Rahul)=1/20, Day3(Deepak)=1/40. Combined 3-day work = 1/10+1/20+1/40 = 4/40+2/40+1/40=7/40. After 15 days (5 cycles): 35/40 done. Day16 (Arun): 35/40+1/10=39/40. Day16.5 (Rahul half day): 39/40+1/40=40/40=1 complete.

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