Question

Abdul can paint a wall in $20$ day. He starts work but has to stop it due to illness after $5$ days. Rohan then completes the work in $12$ days. How long would Rohan have taken to do the entire work by himself?

Answer 1

Abdul can paint a wall in $20$ days,

$\therefore$ work done by Abdul in one day $=\frac{1}{20}$

$\therefore$ work done by Abdul in $5$ days = $\frac{1}{20}\times 5=\frac{1}{4}$

Remaining part of work = $1-\frac{1}{4}=\frac{3}{4}$

Rohan then completes the work in $12$ days

work is done by Rohan in one day

$=\frac{Remainingwork}{No.ofdayshetooktocompletethework}$

$=\frac{\frac{3}{4}}{12}=\frac{1}{16}$

$\therefore$ work done by Rohan in one day = $\frac{1}{16}$