Multiple choice

Akshay can do one-third of a Movie project in 15 days, Aamir can do 75% of the same movie project in 18 days and Ajay can do the same project in 36 days. Aamir and Ajay work together for 8 days. In how many days will Akshay alone complete the remaining Project?

  1. 20 days

  2. 18 days

  3. 17 days

  4. 12 days

  5. None of these

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

Akshay's rate: (1/3)/15 = 1/45 per day. Aamir's rate: 0.75/18 = 1/24 per day. Ajay's rate: 1/36 per day. Aamir + Ajay combined: 1/24 + 1/36 = 5/72 per day. In 8 days they complete: 8 × 5/72 = 5/9 of work. Remaining: 1 - 5/9 = 4/9. Akshay's time: (4/9) / (1/45) = 20 days.