Multiple choice

Three persons X, Y and Z can complete a piece of work in 15, 20 and 25 days respectively. How many days will it take to complete the work if Z does 30% of the work alone and 20% is done by Y and the remaining is done by X?

  1. $16.9$
  2. $12.3$
  3. $20.5$
  4. $19$
  5. $19.5$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Z's 30% work takes 0.30 × 25 = 7.5 days. Y's 20% work takes 0.20 × 20 = 4 days. X does remaining 50%, taking 0.50 × 15 = 7.5 days. Total = 7.5 + 4 + 7.5 = 19 days. Option D is correct.

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