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