Multiple choice

Sahil, Shahid and Salman can do a work in 12, 15 and 30 days respectively, working 12 hours in a day. Work is to be done in two shifts, Morning shift is of 8 hours and evening shift is of 4 hours. Sahil starts from the morning shift and they changes their shift alternatively ( i.e., Sahil works in morning shift then Shahid in evening shift and Salman in morning shift of next day and so on. ) On which day the work will get completed and in which shift?

  1. 16th day evening shift

  2. 17th day morning shift

  3. 15th day evening shift

  4. 15th day morning shift

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Hourly rates: Sahil = 1/(12×12) = 1/144, Shahid = 1/(15×12) = 1/180, Salman = 1/(30×12) = 1/240. Shift pattern: Day 1 AM (Sahil), PM (Shahid), Day 2 AM (Salman), PM (Sahil), etc. Daily work = 8/144 + 4/180 = 1/18 + 1/45 = 7/90. In 15 days: 15 × 7/90 = 7/6 = 1.166 (over). Actual: 33 hours needed = 8×4 + 4 = 36 hours work. Day 16 AM (4th Salman cycle) completes at 33 hours. This is 17th day morning shift.