Question

Dev and tukku can do a piece of work in 45 and 40 days respectively .THey began the work together but dev leaves after some days and tukku finished the remaining work in 23 days.After how many days did dev leave?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

9 days

Step-by-step explanation:

Dev can do work in 45 days = 1

Dev can do part of work in 1 day = $\frac{1}{45}$

Tukku can do work in 40 days = 1

Tukku can do part of work in 1 day = $\frac{1}{40}$

They can do work together in 1 day [tex] \frac{1}{45}+\frac{1}{40}=\frac{17}{360} [/tex]

Work done by Tukku  in 23 days = $1 \times \frac{23}{40}=\frac{23}{40}$

Remaining work =$1−\frac{23}{40}=\frac{17}{40}$

Now,[tex] \frac{17}{360} [/tex] work was done by both in 1 day.

\frac{17}{40} work was done by both in $1 \times \frac{360}{17}\times \frac{17}{40}=9 days$

Hence Dev left after 9 days