Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12(4/5) days while Gitika can do it in 32 days. All of them started to work together but Ravinaleaves the job 3 days before the completion of the work. How long the work last?; Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12 days while Gitika can do it in 32 days. All of them started to work together but Rashmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. How long the work last?
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Let the work lasted for N days,
Then, Rashmi's 4 day's work + Ravina (N - 3) day's + Gitika's N day's work = 1
⇒ (4/16) + (N - 3) / (124/5) + N/32 = 1
⇒ 5(N - 3)/64 + N/32 = 1 - 1/4
⇒ [5(N - 3) + 2N] / 64 = 3/4
⇒ 7N - 15 = 48
∴ N= (48 + 15)/7 = 63/7 = 9 days
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