Question

Soham can finish a task in $30$ days. Manu can do the same task in $20$ days and Raghave in $24$ days. If all three work together, how long will they take to complete the task?

Answer 1

Soham $=30$ days

$1$ day$=\frac{1}{30}$work

Manu $=20$ days

$1$day$=\frac{1}{20}$work

Raghav $=24$ days

$1$ day$=\frac{1}{24}$ work

All to gether

$=\frac{1}{30}+\frac{1}{20}+\frac{1}{24}=\frac{4+5+6}{120}$

$=\frac{15}{120}=\frac{3}{40}$

Time taken to complete work all to gether$=\frac{40}{3}$

$=13\frac{1}{3}$ days