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Aman and Bhanu together can do a piece of work in 24 days, whileh Bhanu and Chandu together can do it in 32 days. After Aman has been working at it for 10 days and Bhanu for 14 days, Chandu finishes it in 26 days. In how many days Chandu alone canl do the work?

Aman and Bhanu together can do a piece of work in 24 days, whileh Bhanu and Chandu together can do it in 32 days. After Aman has been working at it for 10 days and Bhanu for 14 days, Chandu finishes it in 26 days. In how many days Chandu alone canl do the work? Correct Answer 48

Let, Aman, Bhanu and Chandu can complete the work in x, y, z days

1/x + 1/y = 1/24        ----(1)

1/y + 1/z = 1/32        ----(2)

According to question

10/x + 14/y + 26/z = 1

⇒ 10/x + 10/y + 4/y + 4/z +22/z = 1

⇒ 10(1/x + 1/y) + 4(1/y + 1/z) + 22/z = 1

Using equations (1) and (2), we get

⇒ 10/24 + 4/32 + 22/z = 1

⇒ z = 48 days

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