Question

biju and damu can complete a work in 8 days. biju alone can complete in 12 days. how many days are needed for damu to complete the work alone​

Answer 1

${\pmb{\underline{\sf{ Required \ Solution ... }}}}$

As We know that Biju and damu can complete a Work in 8 days.

• Biju + Damu = 8 days

We also Know that, Biju alone can complete in 12 days.

• Efficiency of Biju = 12 days

One day Work of Biju and damu is ${\sf{ \dfrac{1}{8} }}$

One day Work of Biju is ${\sf{ \dfrac{1}{12} }}$

Let the Work of Damu be x

$\circ \ {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \colon\implies{\sf{ \dfrac{1}{12} + \dfrac{1}{x} = \dfrac{1}{8} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{x} = \dfrac{1}{8} - \dfrac{1}{12} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{x} = \dfrac{3-2}{24} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{x} = \dfrac{1}{24} }} \\ \\ \colon\implies{\underline{\boxed{\sf{ x = 24 \ days }}}}$

Hence,

${\pmb{\underline{\sf\red{ The \ days \ taken \ by \ Damu }}}} \\ {\pmb{\underline{\sf\red{ to \ complete \ work \ in \ 24 \ days. }}}}$