Question
"Amit" and "Bhanu" have respective completion times of
20 and 30 days for a task. They began working together on the project, but after a few days, "Amit" left and "Chintu," who can finish the entire task on her own in ten days, joined. Four days before the job was finished, "Chintu" left. Determine the amount of work completed by "Bhanu" if "Amit" and "Chintu" worked for a similar number of days.Solution
ATQ, Let the total work = 60 units (L.C.M of 20, 30 and 10) Therefore, efficiency of ‘Amit’ = 60/20 = 3 units/day Efficiency of ‘Bhanu’ = 60/30 = 2 units/day Efficiency of ‘Chintu’ = 60/10 = 6 units/day Let ‘Amit’ and ‘Chintu’ worked for ‘d’ days According to the question, 5d + 8d + 4 × 2 = 60 13d = 52 Or, d = 4 Therefore, work will get completed in d + d + 4 = 12 days Therefore, work done by ‘Bhanu’ = 12 × 2 = 24 units Required ratio = 24/60 = 2/5
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