Question
Aman, Sam and Kiran started working together but after 8
days Kiran left the job and 5 days before the completion of the work Sam also left then, In how many days the whole work gets completed? Suppose five friends Ritu, Mohani, Aman, Sam and Kiran are appoints to complete a certain piece of work. Ram and Mohani together can complete a work in 24 days. Mohani and Aman together can complete 50% of the work in 15 days. Aman and Sam together can complete the work in 24 days. Ritu and Kiran together can complete 16.66% of the work in 6 days. Sam and Kiran together can complete the work in 20 days.Solution
ATQ, we can say that Efficiency of, Ram = r, Mohani = m, Aman = a, Sam = s, Kiran = k (r + m) × 24 = (m + a) × 30 = (a + s) × 24 = (r + k) × 36 = (s + e) × 20 = 360 r + m = 15, m + a = 12, a + s = 15, r + k = 10, s + k = 18 (m + a) + (a + d) – (r + m) – (s + k) + (r + k) = 12 + 15 – 15 – 18 + 10 2a = 4 a = 2, m = 10, r = 5, s = 13, k = 5. ATQ, Let work will be completed in w days 2 × w + 13 × (w – 5) + 5 × 8 = 360 2w + 13x – 65 + 40 = 360 15w = 360 + 25 = 385 w = 77/3 days
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