Question
Bharti, Chiku, and Diksha complete 30%, 40%, and 20% of
a task in 6 days, 12 days, and 8 days, respectively. How many days will it take for them to collectively complete 97.5% of the task?Solution
ATQ, Time taken by Bharti to complete whole work = 6/0.3 = 20 days Time taken by Chiku to complete whole work = 12/0.4 = 30 days Time taken by Diksha to complete whole work = 8/0.2 = 40 days Let total work = 120 units (LCM of 20, 30 and 40) Efficiency of A = 120/20 = 6 units per day Efficiency of B = 120/30 = 4 units per day Efficiency of C = 120/40 = 3 units per day Required time taken = (120 × 0.975)/13 = 9 days
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