A, B and C can do a piece of work in 20 days, 25 days and 30 days respectively. If they work alternatively, then in how many days the work will be finished?
Answer & explanation
Correct answer: option 1
As A , B & C works on alternate days . so work of 3 days = 15R + 12R + 10R
= 37R
work of 24 days = 8 × 37R = 296R
remaining work = 330R - 296R = 4R
Total work = Efficiency × Number of days
on 25th day , time taken by A to to do 4R work = \(\frac{4}{15}\)
Total time take = 24 + \(\frac{4}{15}\) = 24\(\frac{4}{15}\) days