Question
Arjun, Bharat and Chintu together can complete a task in
8 days. Bharat is 25% less efficient than Arjun. Arjun and Chintu together can complete the task in 12 days. In how many days Chintu alone can complete the task?Solution
ATQ, Let the total work = 24 units (LCM of 8 and 12) Amount of task completed by Arjun, Bharat and Chintu together in one day = 24/8 = 3 units Amount of task completed by Arjun and Chintu together in one day = 24/12 = 2 units Amount of task completed by Bharat alone in one day = 3 – 2 = 1 unit Amount of task completed by Arjun alone in one day = 1/0.75 = 4/3 units Amount of task completed by Chintu alone in one day = 2 – 4/3 = 2/3 units Time taken by Chintu alone to complete the task = 24/(2/3) = 36 days
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