Chacha and Bhatija can complete a work in 48 days. In how many days Chacha alone does the 2/3^{rd} of the total work if they start working together after 40 days Chacha left the work, work is completed in 52 days.

=> 1/Chacha + 1/Bhatija = 1/48 If, Chacha leaves the work after working 40 days with Bhatija, then the whole work is completed in 52 days. Therefore, Bhatija alone works for 12 days. => 40 (1/Chacha + 1/Bhatija) + 12/Bhatija= 1 => (40 × 1/48) + 12/Bhatija= 1 => 5/6 + 12/Bhatija= 1 => 12/Bhatija= 1 – 5/6 => 12/Bhatija= 1/6 => Bhatija= 72 Then, 1/Chacha = 1/48 – 1/72 => Chacha= 144 Chacha alone can complete the whole work in 144 days. And, Chachacan do 2/3rd of the work in = (144 × 2/3) days = 96 days.

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